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Black hole binary remnant mass and spin: A new phenomenological formulaDec 19 2013May 21 2014We perform a set of 38 numerical simulations of equal-mass BH binaries in a configuration where the BH spins in the binary are equal in both magnitude and direction, to study precession effects. We vary the initial direction of the total spin S with respect ... More

Exploring the Outer Limits of Numerical RelativityApr 14 2013May 20 2013We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass nonspinning ... More

Where angular momentum goes in a precessing black hole binaryJul 23 2013Jan 12 2014We evolve a set of 32 equal-mass black-hole binaries with collinear spins (with intrinsic spin magnitudes $|\vec{S}_{1,2}/m^2_{1,2}|=0.8$) to study the effects of precession in the highly nonlinear plunge and merger regimes. We compare the direction of ... More

Nonlinear Gravitational Recoil from the Mergers of Precessing Black-Hole BinariesNov 29 2012Jan 12 2014We present results from an extensive study of 88 precessing, equal-mass black-hole binaries with large spins (83 with intrinsic spins of 0.8 and 5 with intrinsic spins of 0.9)and use these data to model new nonlinear contributions to the gravitational ... More

Foundations of multiple black hole evolutionsNov 08 2007Mar 03 2008We present techniques for long-term, stable, and accurate evolutions of multiple-black-hole spacetimes using the `moving puncture' approach with fourth- and eighth-order finite difference stencils. We use these techniques to explore configurations of ... More

Modeling maximum astrophysical gravitational recoil velocitiesNov 02 2010We measure the recoil velocity as a function of spin for equal-mass, highly-spinning black-hole binaries, with spins in the orbital plane, equal in magnitude and opposite in direction. We confirm that the leading-order effect is linear in the spin and ... More

Modeling the Black hole Merger of QSO 3C 186Apr 03 2017Recent detailed observations of the radio-loud quasar 3C 186 indicate the possibility that a supermassive recoiling black hole is moving away from the host galaxy at a speed of nearly 2100km/s. If this is the case, we can model the mass ratio and spins ... More

Quasi-Local Linear Momentum in Black-Hole BinariesJul 06 2007Oct 01 2007We propose a quasi-local formula for the linear momentum of black-hole horizons inspired by the formalism of quasi-local horizons. We test this formula using two complementary configurations: (i) by calculating the large orbital linear momentum of the ... More

Modeling Gravitational Recoil Using Numerical RelativityNov 09 2010Nov 11 2010We review the developments in modeling gravitational recoil from merging black-hole binaries and introduce a new set of 20 simulations to test our previously proposed empirical formula for the recoil. The configurations are chosen to represent generic ... More

Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole BinariesAug 05 2008Jan 01 2009We compare waveforms and orbital dynamics from the first long-term, fully non-linear, numerical simulations of a generic black-hole binary configuration with post-Newtonian predictions. The binary has mass ratio q~0.8 with arbitrarily oriented spins of ... More

The close limit from a null point of view: the advanced solutionDec 28 2000Jun 07 2001We present a characteristic algorithm for computing the perturbation of a Schwarzschild spacetime by means of solving the Teukolsky equation. We implement the algorithm as a characteristic evolution code and apply it to compute the advanced solution to ... More

Intermediate-mass-ratio black hole binaries II: Modeling Trajectories and Gravitational WaveformsAug 22 2011We revisit the scenario of small-mass-ratio (q) black-hole binaries; performing new, more accurate, simulations of mass ratios 10:1 and 100:1 for initially nonspinning black holes. We propose fitting functions for the trajectories of the two black holes ... More

Perturbative effects of spinning black holes with applications to recoil velocitiesNov 11 2010Recently, we proposed an enhancement of the Regge-Wheeler-Zerilli formalism for first-order perturbations about a Schwarzschild background that includes first-order corrections due to the background black-hole spin. Using this formalism, we investigate ... More

Maximum gravitational recoilFeb 25 2007Feb 27 2007Recent calculations of gravitational radiation recoil generated during black-hole binary mergers have reopened the possibility that a merged binary can be ejected even from the nucleus of a massive host galaxy. Here we report the first systematic study ... More

Gravitational wave extraction based on Cauchy-characteristic extraction and characteristic evolutionJan 04 2005Sep 27 2005We implement a code to find the gravitational news at future null infinity by using data from a Cauchy code as boundary data for a characteristic code. This technique of Cauchy-characteristic Extraction (CCE) allows for the unambiguous extraction of gravitational ... More

Comparison of Post-Newtonian and Numerical Evolutions of Black-Hole BinariesJan 24 2009In this paper, we compare the waveforms from the post-Newtonian (PN) approach with the numerical simulations of generic black-hole binaries which have mass ratio $q\sim0.8$, arbitrarily oriented spins with magnitudes $S_1/m_1^2\sim0.6$ and $S_2/m_2^2\sim0.4$, ... More

The RIT binary black hole simulations catalogMar 09 2017The RIT numerical relativity group is releasing a public catalog of black-hole-binary waveforms. The initial release of the catalog consists of 126 recent simulations that include precessing and non precessing systems with mass ratios $q=m_1/m_2$ in the ... More

Intermediate-mass-ratio black hole binaries: intertwining numerical and perturbative techniquesAug 25 2010Dec 02 2010We describe in detail full numerical and perturbative techniques to compute the gravitational radiation from intermediate-mass-ratio black-hole-binary inspirals and mergers. We perform a series of full numerical simulations of nonspinning black holes ... More

Mode coupling in the nonlinear response of black holesJun 23 2003Aug 14 2003We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be extended from the ... More

Advances in Simulations of Generic Black-Hole BinariesJan 21 2010We review some of the recent dramatic developments in the fully nonlinear simulation of generic, highly-precessing, black-hole binaries, and introduce a new approach for generating hybrid post-Newtonian / Numerical waveforms for these challenging systems. ... More

Approximate black hole binary spacetime via asymptotic matchingDec 24 2013May 10 2014We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is constructed by ... More

Hybrid black-hole binary initial dataDec 04 2010Traditional black-hole binary puncture initial data is conformally flat. This unphysical assumption is coupled with a lack of radiation signature from the binary's past life. As a result, waveforms extracted from evolutions of this data display an abrupt ... More

Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniquesApr 01 2015Jun 23 2016We explore how a recently developed analytical black-hole binary spacetime can be extended using numerical simulations to go beyond the slow-inspiral phase. The analytic spacetime solves the Einstein field equations approximately, with the approximation ... More

Post-Newtonian Initial Data with Waves: Progress in EvolutionDec 29 2009May 11 2010In Kelly et al. [Phys. Rev. D, 76:024008, 2007], we presented new binary black-hole initial data adapted to puncture evolutions in numerical relativity. This data satisfies the constraint equations to 2.5 post-Newtonian order, and contains a transverse-traceless ... More

Hangup Kicks: Still Larger Recoils by Partial Spin/Orbit Alignment of Black-Hole BinariesAug 09 2011Nov 18 2011We revisit the scenario of the gravitational radiation recoil acquired by the final remnant of a black-hole-binary merger by studying a set of configurations that have components of the spin both aligned with the orbital angular momentum and in the orbital ... More

Modeling the remnant mass, spin, and recoil from unequal-mass, precessing black-hole binaries: The Intermediate Mass Ratio RegimeMar 25 2015Jul 20 2016We revisit the modeling of the properties of the remnant black hole resulting the merger of a black-hole binary as a function of the parameters of the binary. We provide a set of empirical formulas for the final mass, spin and recoil velocity of the final ... More

Numerical Relativity of Compact Binaries in the 21st CenturyAug 17 2018Sep 13 2018We review the dramatic progress in the simulations of compact objects and compact-object binaries that has taken place in the first two decades of the twenty-first century. This includes simulations of the inspirals and violent mergers of binaries containing ... More

Further insight into gravitational recoilAug 30 2007Mar 13 2008We test the accuracy of our recently proposed empirical formula to model the recoil velocity imparted to the merger remnant of spinning, unequal-mass black-hole binaries. We study three families of black-hole binary configurations, all with mass ratio ... More

A practical formula for the radiated angular momentumMar 09 2007Jun 10 2007We present a simple formula for the radiated angular momentum based on a spin-weighted spherical harmonic decomposition of the Weyl scalar psi_4 representing outgoing radiation in the Kinnersley tetrad. We test our formula by measuring the radiated angular ... More

Circumbinary MHD Accretion into Inspiraling Binary Black HolesApr 04 2012As 2 black holes bound to each other in a close binary approach merger their inspiral time becomes shorter than the characteristic inflow time of surrounding orbiting matter. Using an innovative technique in which we represent the changing spacetime in ... More

Orbital Evolution of Extreme-Mass-Ratio Black-Hole Binaries with Numerical RelativitySep 01 2010Jul 01 2011We perform the first fully nonlinear numerical simulations of black-hole binaries with mass ratios 100:1. Our technique for evolving such extreme mass ratios is based on the moving puncture approach with a new gauge condition and an optimal choice of ... More

Modeling gravitational recoil from precessing highly-spinning unequal-mass black-hole binariesMay 01 2008Mar 18 2009We measure the gravitational recoil for unequal-mass-black- hole-binary mergers, with the larger BH having spin a/m^H=0.8, and the smaller BH non-spinning. We choose our configurations such that, initially, the spins lie on the orbital plane. The spin ... More

Accuracy Issues for Numerical WaveformsAug 27 2012Nov 19 2012We study the convergence properties of our implementation of the 'moving punctures' approach at very high resolutions for an equal-mass, non-spinning, black-hole binary. We find convergence of the Hamiltonian constraint on the horizons and the L2 norm ... More

Comparing an analytical spacetime metric for a merging binary to a fully non-linear numerical evolution using curvature scalarsFeb 08 2018We introduce a new geometrically invariant prescription for comparing two different spacetimes based on geodesic deviation. We use this method to compare a family of recently introduced analytical spacetime representing inspiraling black-hole binaries ... More

Seeking for toroidal event horizons from initially stationary BH configurationsAug 16 2010Jun 06 2011We construct and evolve non-rotating vacuum initial data with a ring singularity, based on a simple extension of the standard Brill-Lindquist multiple black-hole initial data, and search for event horizons with spatial slices that are toroidal when the ... More

Algebraic Classification of Numerical Spacetimes and Black-Hole-Binary RemnantsNov 18 2008May 07 2009In this paper we develop a technique for determining the algebraic classification of a numerical spacetime, possibly resulting from a generic black-hole-binary merger, using the Newman-Penrose Weyl scalars. We demonstrate these techniques for a test case ... More

Close encounters of three black holesOct 03 2007Apr 09 2008We present the first fully relativistic longterm numerical evolutions of three equal-mass black holes in a system consisting of a third black hole in a close orbit about a black-hole binary. We find that these close-three-black-hole systems have very ... More

Remnant mass, spin, and recoil from spin aligned black-hole binariesJun 27 2014We perform a set of 36 nonprecessing black-hole binary simulations with spins either aligned or counteraligned with the orbital angular momentum in order to model the final mass, spin, and recoil of the merged black hole as a function of the individual ... More

Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole BinariesMar 04 2008Jul 17 2008We evolve equal-mass, equal-spin black-hole binaries with specific spins of a/mH 0.925, the highest spins simulated thus far and nearly the largest possible for Bowen-York black holes, in a set of configurations with the spins counter-aligned and pointing ... More

Puncture Initial Data for Black-Hole Binaries with High Spins and High BoostsOct 31 2014Aug 17 2016We solve the Hamiltonian and momentum constraints of general relativity for two black-holes with nearly extremal spins and relativistic boosts in the puncture formalism. We use a non-conformally-flat ansatz with an attenuated superposition of two Lorentz-boosted, ... More

Modeling the source of GW150914 with targeted numerical-relativity simulationsJul 19 2016In fall of 2015, the two LIGO detectors measured the gravitational wave signal GW150914, which originated from a pair of merging black holes. In the final 0.2 seconds (about 8 gravitational-wave cycles) before the amplitude reached its maximum, the observed ... More

Retarded radiation from colliding black holes in the close limitAug 29 2001We use null hypersurface techniques in a new approach to calculate the retarded waveform from a binary black hole merger in the close approximation. The process of removing ingoing radiation from the system leads to two notable features in the shape of ... More

Remnant Masses, Spins and Recoils from the Merger of Generic Black-Hole BinariesApr 22 2009Apr 20 2010We obtain empirical formulae for the final remnant black hole mass, spin, and recoil velocity from merging black-hole binaries with arbitrary mass ratios and spins. Our formulae are based on the mass ratio and spin dependence of the post-Newtonian expressions ... More

Resolving the relative influence of strong field spacetime dynamics and MHD on circumbinary disk physicsSep 16 2014Jan 31 2015In this paper we evolve magnetized and unmagnetized circumbinary accretion disks around supermassive black hole binaries in the relativistic regime. We use a post-Newtonian expansion to construct an analytical spacetime and determine how the order of ... More

Comparisons of binary black hole merger waveformsJan 01 2007Jun 05 2007This a particularly exciting time for gravitational wave physics. Ground-based gravitational wave detectors are now operating at a sensitivity such that gravitational radiation may soon be directly detected, and recently several groups have independently ... More

Gravitational Recoil From Accretion-Aligned Black-Hole BinariesJan 09 2012Mar 19 2012We explore the newly discovered "hangup-kick" effect, which greatly amplifies the recoil for configuration with partial spin- orbital-angular momentum alignment, by studying a set of 48 new simulations of equal-mass, spinning black-hole binaries. We propose ... More

High Energy Collisions of Black Holes Numerically RevisitedJun 19 2015Aug 24 2016We use fully nonlinear numerical relativity techniques to study high energy head-on collision of nonspinning, equal-mass black holes to estimate the maximum gravitational radiation emitted by these systems. Our simulations include improvements in the ... More

Evolutions of unequal mass, highly spinning black hole binariesNov 22 2017We evolve a binary black hole system bearing a mass ratio of $q=m_1/m_2=2/3$ and individual spins of $S^z_1/m_1^2=0.95$ and $S^z_2/m_2^2=-0.95$ in a configuration where the large black hole has its spin antialigned with the orbital angular momentum, $L^z$, ... More

Intermediate Mass Ratio Black Hole Binaries: Numerical Relativity meets Perturbation TheoryJan 13 2010We study black-hole binaries in the intermediate-mass-ratio regime 0.01 < q < 0.1 with a new technique that makes use of nonlinear numerical trajectories and efficient perturbative evolutions to compute waveforms at large radii for the leading and nonleading ... More

Statistical studies of Spinning Black-Hole BinariesOct 16 2009Jan 21 2010We study the statistical distributions of the spins of generic black-hole binaries during the inspiral and merger, as well as the distributions of the remnant mass, spin, and recoil velocity. For the inspiral regime, we start with a random uniform distribution ... More

Large Merger Recoils and Spin Flips From Generic Black-Hole BinariesJan 29 2007Mar 02 2007We report the first results from evolutions of a generic black-hole binary, i.e. a binary containing unequal mass black holes with misaligned spins. Our configuration, which has a mass ratio of 2:1, consists of an initially non-spinning hole orbiting ... More

Colliding black holes from a null point of view: the close limitDec 29 2000We present a characteristic algorithm for computing the perturbations of a Schwarzschild spacetime by means of solving the Teukolsky equations. Our methods and results are expected to have direct bearing on the study of binary black holes presently underway ... More

Generalized Remez Inequality for $(s,p)$-Valent FunctionsFeb 13 2011The classical Remez inequality bounds the maximum of the absolute value of a polynomial $P(x)$ of degree $d$ on $[-1,1]$ through the maximum of its absolute value on any subset $Z$ of positive measure in $[-1,1]$. It was shown in \cite{Yom3} that the ... More

CP Violation - A New EraSep 11 2001We give a pedagogical review of the theory of CP violation with emphasis on the implications of recent experimental results. The review includes: (i) A detailed description of how CP violation arises in the Standard Model and in its extension that allows ... More

Introduction to leptogenesisFeb 20 2007The discovery of neutrino masses makes leptogenesis a very attractive scenario for explaining the puzzle of the baryon asymmetry of the Universe. We present the basic ingredients of leptogenesis, explain the predictive power of this scenario (and its ... More

On Supersymmetric CP ViolationJul 24 1996We discuss the discovery potential for New Physics of various measurements of CP violation. If nature is supersymmetric, then the flavor problem is even more mysterious than in the standard model. We show how we can learn about the mechanism that solves ... More

Lessons from Recent Measurements of CP ViolationAug 22 2000We review various implications of recent experimental results concerning CP violation and mixing in $K\to\pi\pi$, $B\to\psi K_S$, $D\to K\pi$ and $D\to KK$ decays.

CP violation in meson decaysOct 31 2005This is a written version of a series of lectures aimed at graduate students in the field of (theoretical and experimental) high energy physics. The main topics covered are: (i) The flavor sector of the Standard Model and the Kobayashi-Maskawa mechanism ... More

Pseudo-Dirac Solar NeutrinosFeb 15 2000Jun 27 2000Three of the viable solutions of the solar neutrino problem are consistent with close to maximal leptonic mixing: $\sin^2\theta_{12}={1\over2}(1-\epsilon_{12})$ with $|\epsilon_{12}|\ll1$. Flavor models can naturally explain close to maximal mixing if ... More

New Physics Effects on CP Violation in $B$ DecaysSep 26 1993We review new physics effects on CP violation in B decays. We describe the Standard Model predictions for the various types of CP asymmetries and discuss the theoretical cleanliness of these predictions. We point out the ingredients in the analysis that ... More

Remez-Type Inequality for Smooth FunctionsJun 16 2013The classical Remez inequality bounds the maximum of the absolute value of a polynomial $P(x)$ of degree $d$ on $[-1,1]$ through the maximum of its absolute value on any subset $Z$ of positive measure in $[-1,1]$. Similarly, in several variables the maximum ... More

The Use of Generalized Information Dimension in Measuring Fractal Dimension of Time SeriesMay 03 1998Nov 19 1998An algorithm for calculating generalized fractal dimension of a time series using the general information function is presented. The algorithm is based on a strings sort technique and requires $O(N \log_2 N)$ computations. A rough estimate for the number ... More

Probing new physics with flavor physics (and probing flavor physics with new physics)Aug 14 2007This is a written version of a series of lectures aimed at graduate students and postdoctoral fellows in particle theory/string theory/particle experiment familiar with the basics of the Standard Model. We begin with an overview of flavor physics and ... More

Flavor Physics and CP ViolationOct 29 1998This is a written version of a series of three lectures aimed at graduate students in the field of experimental high energy physics. The emphasis is on physics that is relevant to $B$-factories. The main topics covered are: (i) The flavor sector of the ... More

The surface temperature of EuropaAug 26 2016Sep 30 2016Previous estimates of the surface temperature of Jupiter's moon, Europa, neglected the effect of the eccentricity of Jupiter's orbit around the Sun, the effect of the eclipse of Europa (i.e., the relative time that Europa is within the shadow of Jupiter), ... More

Lessons from BaBar and Belle measurements of D-Dbar mixing parametersMar 22 2007Apr 01 2007The BaBar and Belle experiments have recently presented evidence for D-Dbar mixing. We explain the following points: (i) The measurements imply width difference $y \sim 0.01$. In the limit of small CP violation, the CP-odd state is longer-lived; (ii) ... More

CP Violation: The CKM Matrix and New PhysicsAug 08 2002Jan 12 2003Recent measurements of CP violating asymmetries have led to a significant progress in our understanding of CP violation. The implications of the experimental results for the Kobayashi-Maskawa mechanism and for new physics are explained.

CP Violation In and Beyond the Standard ModelNov 11 1999Nov 23 1999The special features of CP violation in the Standard Model are presented. The significance of measuring CP violation in B, K and D decays is explained. The predictions of the Standard Model for CP asymmetries in B decays are analyzed in detail. Then, ... More

CP Violation in B DecaysApr 08 1999In the near future, we will have the first significant experimental measurements of CP violation in B decays. These measurements will easily test crucial questions such as whether the Standard Model Kobayashi-Maskawa phase plays a dominant role in CP ... More

Recent Developments in Theory of CP ViolationSep 10 1997Four topics in theory of CP violation are reviewed. (a) CP violation in $B$ decays: We describe a new clean way of constraining the angle $\gamma$ of the unitarity triangle and how new CP violation in decay amplitudes can signal new physics. (b) CP violation ... More

Gauge Unification, Yukawa Hierarchy and the $μ$ ProblemApr 17 1995The hierarchy in the Yukawa couplings may be the result of a gauged horizontal $U(1)_H$ symmetry. If the mixed anomalies of the Standard Model gauge group with $U(1)_H$ are cancelled by a Green-Schwarz mechanism, a relation between the gauge couplings, ... More

Exploring New Physics with CP Violation in Neutral D and B DecaysJul 12 1995If New Physics contributes significantly to neutral meson mixing, then it is quite likely that it does so in a CP violating manner. In $D^0-\bar D^0$ mixing measured through $D^0\rightarrow K^+\pi^-$, CP violation induces a term $\propto te^{-\Gamma t}$ ... More

Naturally Small $x_s$?Feb 24 1994Within the Standard Model, $x_s$ (the mixing parameter in the $B_s-\bar B_s$ system) is constrained to the range $7 \leq x_s\leq 40$. We point out that if New Physics contributes significantly to $x_d$ (the mixing parameter in the $B_d-\bar B_d$ system), ... More

A group action on increasing sequences of set-indexed Brownian motionsAug 12 2015We prove that a square-integrable set-indexed stochastic process is a set-indexed Brownian motion if and only if its projection on all the strictly increasing continuous sequences are one-parameter $G$-time-changed Brownian motions. In addition, we study ... More

The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimationJan 08 2019Mar 27 2019The RIT numerical relativity group is releasing the second public catalog of black-hole-binary waveforms \url{http://ccrg.rit.edu/~RITCatalog}. This release consists of 320 accurate simulations that include 46 precessing and 274 nonprecessing binary systems ... More

Study of Conformally Flat Initial Data for Highly Spinning Black Holes and their Early EvolutionsMar 14 2012Jun 14 2012We study conformally-flat initial data for an arbitrary number of spinning black holes with exact analytic solutions to the momentum constraints constructed from a linear combination of the classical Bowen-York and conformal Kerr extrinsic curvatures. ... More

The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimationJan 08 2019Jan 10 2019The RIT numerical relativity group is releasing the second public catalog of black-hole-binary waveforms \url{http://ccrg.rit.edu/~RITCatalog}. This release consists of 320 accurate simulations that include 46 precessing and 274 nonprecessing binary systems ... More

Targeted numerical simulations of binary black holes for GW170104Dec 15 2017Dec 19 2017In response to LIGO's observation of GW170104, we performed a series of full numerical simulations of binary black holes, each designed to replicate likely realizations of its dynamics and radiation. These simulations have been performed at multiple resolutions ... More

Numerical relativity in spherical coordinates with the Einstein ToolkitFeb 26 2018May 02 2018Numerical relativity codes that do not make assumptions on spatial symmetries most commonly adopt Cartesian coordinates. While these coordinates have many attractive features, spherical coordinates are much better suited to take advantage of approximate ... More

Spin Flips and Precession in Black-Hole-Binary MergersDec 13 2006Mar 13 2007We use the `moving puncture' approach to perform fully non-linear evolutions of spinning quasi-circular black-hole binaries with individual spins not aligned with the orbital angular momentum. We evolve configurations with the individual spins (parallel ... More

Algebraic signal sampling, Gibbs phenomenon and Prony-type systemsJun 05 2013Systems of Prony type appear in various signal reconstruction problems such as finite rate of innovation, superresolution and Fourier inversion of piecewise smooth functions. We propose a novel approach for solving Prony-type systems, which requires sampling ... More

The effects of psammophilous plants on sand dune dynamicsAug 30 2013Psammophilous plants are special plants that flourish in sand moving environments. There are two main mechanisms by which the wind affects these plants: (i) sand drift exposes roots and covers branches--the exposed roots turn into new plants and the covered ... More

CP Violation in τ->νπK_S and D->πK_S: The Importance of K_S-K_L InterferenceOct 17 2011The $B$-factories have measured CP asymmetries in the $\tau\to\pi K_S\nu$ and $D\to K_S\pi$ modes. The $K_S$ state is identified by its decay to two pions at a time that is close to the $K_S$ lifetime. Within the Standard Model and many of its extensions, ... More

New Physics and Future B FactoriesFeb 13 2002Further experimental and theoretical studies of the physics of flavor and CP violation are well motivated. Within the supersymmetric framework, higher precision measurements will allow to explore classes of models with stronger degree of universality: ... More

$K_L \to π^0 ν\bar ν$ Beyond the Standard ModelJan 16 1997We analyze the decay $K_L \to \pi^0 \nu \bar \nu$ in a model independent way. If lepton flavor is conserved the final state is (to a good approximation) purely CP even. In that case this decay mode goes mainly through CP violating interference between ... More

Effect of multiple degrees of ambivalence on the Naming GameAug 12 2013We examine a modified Naming Game in the mean field where there are multiple degrees of ambivalence. Once an agent in one state fears an opinion one way or another, he or she moves one step in the appropriate direction. In the absence of zealots, the ... More

Signal Acquisition from Measurements via Non-Linear ModelsOct 29 2008We consider the problem of reconstruction of a non-linear finite-parametric model $M=M_p(x),$ with $p=(p_1,...,p_r)$ a set of parameters, from a set of measurements $\mu_j(M)$. In this paper $\mu_j(M)$ are always the moments $m_j(M)=\int x^jM_p(x)dx$. ... More

Particle-fluid interaction forces as the source of acceleration PDF invariance in particle sizeJul 09 2014The conditions allowing particle suspension in turbulent flow are of interest in many applications, but understanding them is complicated both by the nature of turbulence and by the interaction of flow with particles. Observations on small particles indicate ... More

Local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functionsJan 07 2013Apr 03 2014Many reconstruction problems in signal processing require solution of a certain kind of nonlinear systems of algebraic equations, which we call Prony systems. We study these systems from a general perspective, addressing questions of global solvability ... More

FN-2HDM: Two Higgs Doublet Models with Froggatt-Nielsen SymmetryDec 15 2016We embed Two Higgs Doublet Models (2HDMs) in the Froggatt Nielsen (FN) framework. We find that the approximate FN symmetry predicts i) approximate Natural Flavor Conservation (NFC) of Types II or IV in the Yukawa sector, and ii) approximate Peccei-Quinn ... More

What if $λ_{hhh}\neq 3m_h^2/v$Jan 05 2014Jan 19 2014A measurement of the Higgs trilinear self coupling $\lambda_{hhh}$ will test the Standard Model Higgs potential. But can it reveal information that cannot be learned otherwise? By analyzing several simple extensions of the Standard Model scalar sector ... More

New Physics Effects in Doubly Cabibbo Suppressed D DecaysSep 15 1999The most sensitive experimental searches for $D-\bar D$ mixing use $D^0 \to K^+ \pi^-$ decays. It is often assumed that effects of New Physics and, in particular, CP violation, can appear through the mixing, while the $c \to d u \bar s$ decay amplitude ... More

Lepton Parity in Supersymmetric Flavor ModelsApr 28 1999We investigate supersymmetric models where neither R-parity nor lepton number nor baryon number is imposed. The full high energy theory has an exact horizontal U(1) symmetry that is spontaneously broken. Quarks and Higgs fields carry integer horizontal ... More

Naturally Light Sterile Neutrinos in Gauge Mediated Supersymmetry BreakingOct 06 1998Oct 15 1998Moduli are generic in string (M) theory. In a large class of gauge-mediated Supersymmetry breaking models, the fermionic components of such fields have very light masses, around the eV scale, and non-negligible mixing with active neutrinos, of order $10^{-4}$. ... More

Implications of $b\rightarrow sγ$ for CP Violation in Charged Scalar ExchangeJun 20 1993In models of three or more scalar doublets, new CP violating phases appear in charged scalar exchange. These phases affect CP asymmetries in neutral $B$ decays, even if Natural Flavor Conservation holds. The recent upper bound on the decay $b\rightarrow ... More

Vitushkin-type theoremsFeb 21 2013It is shown that for a subset $A\subset\R^n$ that has the global Gabrielov property, a Vitushkin-type estimate holds. Concrete examples are given for sub-level sets of certain classes of functions.

Multivariate normal approximations by Stein's method and size bias couplingsOct 27 2005Stein's method is used to obtain two theorems on multivariate normal approximation. Our main theorem, Theorem 1.2, provides a bound on the distance to normality for any nonnegative random vector. Theorem 1.2 requires multivariate size bias coupling, which ... More

Taylor Domination, Turán lemma, and Poincaré-Perron SequencesJan 25 2013Nov 18 2014We consider "Taylor domination" property for an analytic function $f(z)=\sum_{k=0}^{\infty}a_{k}z^{k},$ in the complex disk $D_R$, which is an inequality of the form \[ |a_{k}|R^{k}\leq C\ \max_{i=0,\dots,N}\ |a_{i}|R^{i}, \ k \geq N+1. \] This property ... More

Rotation of Trajectories of Lipschitz Vector FieldsSep 21 2006Dec 12 2006We prove that in finite time a trajectory of a Lipschitz vector field in $\hbox{\bbbb R}^{\hbox{\tmm n}}$ can not have infinite rotation around a given point. This result extends to the mutual rotation of two trajectories of a field in $\hbox{\bbbb R}^{\hbox{\tmm ... More

The relation between the statistics of open ocean currents and the temporal correlations of the windNov 30 2011May 16 2013We study the statistics of wind-driven open ocean currents. Using the Ekman layer model for the integrated currents, we investigate, analytically and numerically, the relation between the wind distribution and its temporal correlations and the statistics ... More