Results for "Robert V. Harlander"

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Supersymmetric Higgs production in gluon fusion at next-to-leading orderSep 01 2004Sep 29 2004The next-to-leading order (NLO) QCD corrections to the production and decay rate of a Higgs boson are computed within the framework of the Minimal Supersymmetric Standard Model (MSSM). The calculation is based on an effective theory for light and intermediate ... More
Pseudo-scalar Higgs production at next-to-leading order SUSY-QCDJul 04 2005Mar 14 2006The production rate of the CP-odd Higgs boson in the Minimal Supersymmetric Standard Model is evaluated through next-to-leading order in the strong coupling constant. The divergent integrals are regulated using Dimensional Reduction, with a straightforward ... More
The perturbative QCD gradient flow to three loopsJun 12 2016Jun 29 2016The gradient flow in QCD is treated perturbatively through next-to-next-to-leading order in the strong coupling constant. The evaluation of the relevant momentum and flow-time integrals is described, including various means of validation. For the vacuum ... More
Hadronic Higgs Production and Decay in Supersymmetry at Next-to-Leading OrderJul 29 2003Apr 20 2010Supersymmetric QCD corrections to the gluonic production and decay rate of a CP-even Higgs boson are evaluated at next-to-leading order. To this aim, we derive an effective Lagrangian for the gluon-Higgs coupling. We show that a consistent calculation ... More
Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCDDec 19 2002May 13 2003This paper describes the fortran program rhad which performs a numerical evaluation of the photon-induced hadronic R-ratio, R(s), related to the cross section for electron-positron annihilation, for a given center-of-mass energy \sqrt{s}. In rhad the ... More
Supersymmetric Higgs production in gluon fusionDec 15 2010Dec 05 2011The cross section through gluon fusion is calculated for the production of the light neutral Higgs boson through next-to-leading order QCD within the Minimal Supersymmetric Standard Model. The quark-mediated contributions are taken into account exactly, ... More
Higgs production in bottom quark annihilation: Transverse momentum distribution at NNLO+NNLLMar 27 2014Sep 03 2014We present the inclusive transverse momentum distribution for Higgs bosons produced in bottom quark annihilation at the LHC. The results are obtained in the five-flavor scheme. The soft and collinear terms at small $p_T$ are resummed through NNLL accuracy ... More
Transverse momentum resummation for Higgs production via gluon fusion in the MSSMSep 01 2014Oct 27 2014The resummed transverse momentum distribution of supersymmetric Higgs bosons produced through gluon fusion at NLO+NLL is presented, including the exact quark and squark mass dependences. Considering various MSSM scenarios, we compare our results to previous ... More
Higgs mass prediction in the MSSM at three-loop level in a pure $\overline{\text{DR}}$ contextAug 18 2017Nov 29 2017The impact of the three-loop effects of order $\alpha_t\alpha_s^2$ on the mass of the light CP-even Higgs boson in the MSSM is studied in a pure $\overline{\text{DR}}$ context. For this purpose, we implement the results of Kant et al. into the C++ module ... More
Higgs boson production in bottom quark fusion at next-to-next-to-leading orderApr 03 2003Jul 02 2003The total cross section for Higgs production in bottom-quark annihilation is evaluated at next-to-next-to-leading order (NNLO) in QCD. This is the first time that all terms at order alpha_s^2 are taken into account. We find a greatly reduced scale dependence ... More
Next-to-Next-to-Leading Order Higgs Production at Hadron CollidersJan 22 2002May 09 2002The Higgs boson production cross section at pp and p\bar{p} colliders is calculated in QCD at next-to-next-to-leading order (NNLO). We find that the perturbative expansion of the production cross section is well behaved and that scale dependence is reduced ... More
Production of a pseudo-scalar Higgs boson at hadron colliders at next-to-next-to leading orderAug 12 2002Oct 22 2002The production cross section for pseudo-scalar Higgs bosons at hadron colliders is computed at next-to-next-to-leading order (NNLO) in QCD. The pseudo-scalar Higgs is assumed to couple only to top quarks. The NNLO effects are evaluated using an effective ... More
Higgs Strahlung at the Large Hadron Collider in the 2-Higgs-Doublet ModelJul 30 2013Jun 16 2014We present a calculation of all relevant contributions to associated production of a Higgs boson with a weak gauge boson in the 2-Higgs-Doublet Model (2HDM) at the LHC, $pp \rightarrow V\phi$, with $\phi\in\{h,H^0,A\}$ and $V\in\{W,Z\}$. While for the ... More
The two-loop energy-momentum tensor within the gradient-flow formalismAug 29 2018The gradient-flow formulation of the energy-momentum tensor of QCD is extended to NNLO perturbation theory. This means that the Wilson coefficients which multiply the flowed operators in the corresponding expression for the regular energy-momentum tensor ... More
The SUSY-QCD beta function to three loopsMay 29 2009Jul 30 2009A number of DR-bar renormalization constants in softly broken SUSY-QCD are evaluated to three-loop level: the wave function renormalization constants for quarks, squarks, gluons, gluinos, ghosts, and epsilon-scalars, and the renormalization constants ... More
Finite top mass effects for hadronic Higgs production at next-to-next-to-leading orderSep 18 2009The first four terms of an expansion in mH^2/mt^2 of the total inclusive cross section for Higgs production in gluon fusion are evaluated through next-to-next-to-leading order QCD. A reliable and precise approximation of the full top mass dependence at ... More
Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual correctionsJul 17 2009Top quark mass suppressed terms are calculated for the virtual amplitude for Higgs production in gluon fusion at three-loop level, i.e. O(\alpha_s^3). The method of asymptotic expansions in its automated form is used to evaluate the first three non-vanishing ... More
Inclusive Higgs Boson Production at Hadron Colliders at Next-to-Next-to-Leading OrderMay 15 2002Inclusive production via gluon fusion will be the most important production channel for Higgs boson discovery at the LHC. I report on a calculation of the inclusive Higgs boson production cross section at $pp$ and $p\bar p$ colliders at next-to-next-to-leading ... More
Soft and virtual corrections to pp -> H + X at NNLOFeb 19 2001Jun 07 2001The contributions of virtual corrections and soft gluon emission to the inclusive Higgs production cross section pp -> H + X are computed at next-to-next-to-leading order in the heavy top quark limit. We show that this part of the total cross section ... More
Inclusive Higgs Production at Next-to-Next-to-Leading OrderOct 15 2001We describe the contributions of virtual corrections and soft gluon emission to the inclusive Higgs boson production cross section $pp\to H + X$ computed at next-to-next-to-leading order in the heavy top quark limit. We also discuss estimates of the leading ... More
SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSMDec 13 2012Mar 19 2013This article describes the code SusHi (for "Supersymmetric Higgs") which calculates the cross sections $pp/p\bar{p}\rightarrow\phi+X$ in gluon fusion and bottom-quark annihilation in the SM and the MSSM, where $\phi$ is any of the neutral Higgs bosons ... More
SusHi Bento: Beyond NNLO and the heavy-top limitMay 10 2016Version 1.6.0 of the code SusHi is presented. Concerning inclusive CP-even Higgs production in gluon fusion, the following new features with respect to previous versions have been implemented: expansion of the partonic cross section in the soft limit, ... More
SusHi Bento: Beyond NNLO and the heavy-top limitMay 10 2016Nov 28 2016Version 1.6.0 of the code SusHi is presented. Concerning inclusive CP-even Higgs production in gluon fusion, the following new features with respect to previous versions have been implemented: expansion of the partonic cross section in the soft limit, ... More
Philosophical perspectives on ad hoc hypotheses and the Higgs mechanismMay 22 2013Nov 03 2014We examine physicists' charge of ad hocness against the Higgs mechanism in the standard model of elementary particle physics. We argue that even though this charge never rested on a clear-cut and well-entrenched definition of "ad hoc", it is based on ... More
vh@nnlo - Higgs Strahlung at hadron collidersOct 19 2012Dec 13 2012A numerical program for the evaluation of the inclusive cross section for associated Higgs production with a massive weak gauge boson at hadron colliders is described, sigma(pp/pbar p -> HV), V=W,Z. The calculation is performed in the framework of the ... More
vh@nnlo-v2: New physics in Higgs StrahlungFeb 13 2018Introducing version 2 of the code vh@nnlo, we study the effects of a number of new-physics scenarios on the Higgs-Strahlung process. In particular, the cross section is evaluated within a general 2HDM and the MSSM. While the Drell-Yan-like contributions ... More
Higgs plus jet production in bottom quark annihilation at next-to-leading orderJul 30 2010The cross section for Higgs+jet production in bottom quark annihilation is calculated through NLO QCD. The five-flavour scheme is used to derive this contribution to the Higgs+jet production cross section which becomes numerically important in the MSSM ... More
vh@nnlo-v2: New physics in Higgs StrahlungFeb 13 2018May 14 2018Introducing version 2 of the code vh@nnlo, we study the effects of a number of new-physics scenarios on the Higgs-Strahlung process. In particular, the cross section is evaluated within a general 2HDM and the MSSM. While the Drell-Yan-like contributions ... More
Top-mass effects in differential Higgs production through gluon fusion at order α_s^4Jun 01 2012Effects from a finite top quark mass on differential distributions in the Higgs+jet production cross section through gluon fusion are studied at next-to-leading order in the strong coupling, i.e. $O(\alpha_s^4)$. Terms formally subleading in $1/m_t$ are ... More
Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top massDec 10 2009The inclusive Higgs production cross section from gluon fusion is calculated through NNLO QCD, including its top quark mass dependence. This is achieved through a matching of the 1/mtop expansion of the partonic cross sections to the exact large s-hat ... More
Soft gluon resummation for gluon-induced Higgs StrahlungOct 01 2014We study the effect of soft gluon emission on the total cross section predictions for the $gg\to HZ$ associated Higgs production process at the LHC. To this end, we perform resummation of threshold corrections at the NLL accuracy in the absolute threshold ... More
Higgs production in gluon fusion to order α_s^4Dec 14 2000The calculation of the NNLO QCD corrections to the partonic process gg -> H is outlined. For the coupling of the Higgs boson to the gluons we use an effective Lagrangian in the limit of a heavy top quark. The focus is on the evaluation of the virtual ... More
Techniques for NNLO Higgs production in the Standard Model and the MSSMMay 19 2003New techniques developed in connection with the NNLO corrections to the Higgs production rate at hadron colliders and some recent applications are reviewed.
Higgs production and decay: Analytic results at next-to-leading order QCDSep 19 2005The virtual two-loop corrections for Higgs production in gluon fusion are calculated analytically in QCD for arbitrary Higgs and quark masses. Both scalar and pseudo-scalar Higgs bosons are considered. The results are obtained by expanding the known one-dimensional ... More
Scalar and Pseudo-Scalar Higgs Production at Hadron CollidersNov 25 2002The evaluation of the NNLO QCD corrections to the production of a scalar and a pseudo-scalar Higgs boson is described.
Effects of SUSY-QCD in hadronic Higgs production at next-to-next-to-leading orderAug 20 2003An estimate of the NNLO supersymmetric QCD effects for Higgs production at hadron colliders is given. Assuming an effective gluon-Higgs interaction, these corrections enter only in terms of process-independent, factorizable terms. We argue that the current ... More
Jet-veto in bottom-quark induced Higgs production at next-to-next-to-leading orderNov 09 2011We present results for associated Higgs+n-jet production in bottom quark annihilation, for n=0 and n>=1 at NNLO and NLO accuracy, respectively. We consider both the cases with and without b-tagging. Numerical results are presented for parameters relevant ... More
Naturalness, Wilsonian Renormalization, and "Fundamental Parameters" in Quantum Field TheorySep 25 2018Jan 29 2019The Higgs naturalness principle served as the basis for the so far failed prediction that signatures of physics beyond the Standard Model (SM) would be discovered at the LHC. One influential formulation of the principle, which prohibits fine tuning of ... More
Resummation ambiguities in the Higgs transverse-momentum spectrum in the Standard Model and beyondOct 29 2015We study the prediction for the Higgs transverse momentum distribution in gluon fusion and focus on the problem of matching fixed- and all-order perturbative results. The main sources of matching ambiguities on this distribution are investigated by means ... More
Results and techniques for higher order calculations within the gradient flow formalismMay 02 2019We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradient-flow formalism. This includes a collection of all relevant Feynman rules of the five-dimensional field theory and the composite operators ... More
Gluon-induced Higgs-strahlung at next-to-leading order QCDNov 21 2012Gluon-induced contributions to the associated production of a Higgs and a Z-boson are calculated with NLO accuracy in QCD. They constitute a significant contribution to the cross section for this process. The perturbative correction factor (K-factor) ... More
Bottom-quark associated Higgs-boson production: reconciling the four- and five-flavour scheme approachDec 15 2011The main arguments in the discussion of the proper treatment of the total inclusive cross section for bottom-quark associated Higgs-boson production are briefly reviewed. A simple and pragmatic formula for the combination of the so-called four- and five-flavour ... More
Gluon-Induced Weak Boson FusionJan 22 2008The gluon-gluon induced terms for Higgs production through weak boson fusion (WBF) are computed. Formally, these are of NNLO in the strong coupling constant. This is the lowest order at which non-zero color exchange occurs between the scattering quarks, ... More
Resummed Higgs $p_T$ distribution at NNLL + NNLO in bottom-quark annihilationJul 11 2014The resummed transverse-momentum distribution for Higgs bosons produced via bottom-quark annihilation at the LHC is presented. Our results are obtained in the five-flavor scheme to NNLO+NNLL accuracy. We present a theoretical prediction which consistently ... More
NNLO QCD corrections to the Higgs-strahlung processes at hadron collidersJul 16 2003We implement, at next-to-next-to-leading order, the QCD corrections to Standard Model Higgs boson production in association with vector bosons at hadron colliders, $q\bar{q} \to HV$ with $V=W,Z$. They consist of the two--loop corrections to the Drell--Yan ... More
Running of $α_s$ and $m_b$ in the MSSMJun 20 2007Oct 16 2007A consistent evolution of the strong coupling constant $\alpha_s$ from $M_Z$ to the GUT scale is presented, involving three-loop running and two-loop decoupling. The two-loop transition from the MS- to the DR-scheme is properly taken into account. In ... More
Dimensional Reduction applied to QCD at higher ordersJun 20 2007Recent developments in higher order calculations within the framework of Dimensional Reduction, the preferred regularization scheme for supersymmetric theories, are reported on. Special emphasis is put on the treatment of evanescent couplings, the equivalence ... More
Higgs production in gluon fusion at NNLO for finite top quark massJan 18 2010The evaluation of the top quark mass suppressed terms to the Higgs production cross section in gluon fusion at next-to-next-to-leading order is reported on. In the region below threshold, the Feynman diagrams are evaluated using asymptotic expansions. ... More
Top-Quark Mediated Effects in Hadronic Higgs-StrahlungNov 03 2011Novel contributions to the total inclusive cross section for Higgs-Strahlung in the Standard Model at hadron colliders are evaluated. Although formally of order $\alpha_s^2$, they have not been taken into account in previous NNLO predictions. The terms ... More
Light MSSM Higgs boson mass to three-loop accuracyMay 31 2010Aug 24 2010The light CP even Higgs boson mass, Mh, is calculated to three-loop accuracy within the Minimal Supersymmetric Standard Model (MSSM). The result is expressed in terms of DRbar parameters and implemented in the computer program H3m. The calculation is ... More
Higgs boson mass in supersymmetry to three loopsMar 05 2008Jun 21 2008Within the minimal supersymmetric extension of the Standard Model, the mass of the light CP-even Higgs boson is computed to three-loop accuracy, taking into account the next-to-next-to-leading order effects from supersymmetric Quantum Chromodynamics. ... More
Towards precise predictions for Higgs-boson production in the MSSMApr 01 2014Jun 27 2014We study the production of scalar and pseudoscalar Higgs bosons via gluon fusion and bottom-quark annihilation in the MSSM. Relying on the NNLO-QCD calculation implemented in the public code SusHi, we provide precise predictions for the Higgs-production ... More
Four-loop beta function and mass anomalous dimension in Dimensional ReductionOct 17 2006Jun 22 2007Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR-bar scheme and put special emphasis on the additional couplings which have to be taken into account. This ... More
Injective Labeled Oriented Trees are AsphericalDec 10 2012Nov 04 2016A labeled oriented tree is called injective if each generator occurs at most once as an edge label. We show that injective labeled oriented trees are aspherical. The proof relies on a new relative asphericity test based on a lemma of Stallings.
Automatic Computation of Feynman DiagramsDec 14 1998Mar 02 1999Quantum corrections significantly influence the quantities observed in modern particle physics. The corresponding theoretical computations are usually quite lengthy which makes their automation mandatory. This review reports on the current status of automatic ... More
Relative Combinatorial AsphericityApr 16 2019We introduce relative versions of diagrammatic reducibility (DR) and vertex asphericity (VA). The definition of diagrammatic reducibility of a 2-complex goes back to Sieradski 1983 who developed it as a tool for detecting asphericity of a 2-complex. We ... More
Injective Labeled Oriented Trees are AsphericalDec 10 2012May 20 2015A labeled oriented tree is called injective if each generator occurs at most once as an edge label. We show that injective labeled oriented trees are aspherical. The proof relies on a new relative asphericity test based on a lemma of Stallings.
Aspherical Word Labeled Oriented Graphs and Cyclically Presented GroupsAug 17 2014A {\em word labeled oriented graph} (WLOG) is an oriented graph $\cal G$ on vertices $X=\{ x_1,\ldots ,x_k\}$, where each oriented edge is labeled by a word in $X^{\pm1}$. WLOGs give rise to presentations which generalize Wirtinger presentations of knots. ... More
Directed diagrammatic reducibilityMar 11 2019We introduce the notion of directed diagrammatic reducibility which is a relative version of diagrammatic reducibility. Directed diagrammatic reducibility has strong group theoretic and topological consequences. A multi-relator version of the Freiheitssatz ... More
O(α_s^2) Corrections to Top Quark Production at $e^+e^-$ CollidersOct 20 1997In this article we evaluate mass corrections up to $O((m^2/q^2)^6)$ to the three-loop polarization function induced by an axial-vector current. Special emphasis is put on the evaluation of the singlet diagram which is absent in the vector case. As a physical ... More
Higgs Decay to Top Quarks at O(α_s^2)Apr 29 1997Three-loop corrections to the scalar and pseudo-scalar current correlator are calculated. By applying the large momentum expansion mass terms up to order (m^2/q^2)^4 are evaluated analytically. As an application O(\alpha_s^2) corrections to the decay ... More
Exotic relation modules and homotopy types for certain 1-relator groupsJun 30 2009Using stably free non-free relation modules we construct an infinite collection of 2-dimensional homotopy types, each of Euler-characteristic one and with trefoil fundamental group. This provides an affirmative answer to a question asked by Berridge and ... More
Singlet Polarization Functions at O(α_s^2)Jan 29 1998We consider the three-loop singlet diagrams induced by axial-vector, scalar and pseudo-scalar currents. Expansions for small and large external momentum $q$ are presented. They are used in combination with conformal mapping and Pad\'e approximations in ... More
Higgs effects in top quark pair productionJun 11 1995Top quark production in $p\bar p$ and $e^+e^-$ collisions is enhanced by the exchange of a Higgs boson. The enhancement factors are calculated in the threshold region using the Greens function method.
Temperature fluctuations in a changing climate: an ensemble-based experimental approachFeb 22 2017There is an ongoing debate in the literature about whether the present global warming is increasing local and global temperature variability. The central methodological issues of this debate relate to the proper treatment of normalised temperature anomalies ... More
Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom QuarksDec 02 1997Mar 09 1998For the vertex corrections to the partial decay rate $\Gamma(Z \to b\bar{b})$ involving the top quark only the leading terms of order $\alpha\alpha_s$ in the $1/M_t$ expansion are known. In this work we compute the missing next-to-leading corrections. ... More
Relativistic DiskoseismologyMay 04 1998We will summarize results of calculations of the modes of oscillation trapped within the inner region of accretion disks by the strong-field gravitational properties of a black hole (or a compact, weakly-magnetized neutron star). Their driving and damping ... More
A Timing Signature of Gravitational Radiation from LMXB Neutron StarsDec 16 2003The coupled evolution of the spin frequency, core temperature, and r-mode amplitude of an accreting neutron star is calculated. We focus on those conditions that can produce persistent gravitational radiation from the r-mode. During X-ray quiescent phases ... More
Top production above threshold: Electroweak and QCD corrections combinedDec 07 1999Top quark production in electron-positron annihilation is one of the benchmark reactions at a future linear collider. Both electroweak and QCD corrections are large, amounting to 10% or even more in specific kinematic regions. In this note we present ... More
Two-loop matching coefficients for the strong coupling in the MSSMSep 06 2005When relating the strong coupling $\alpha_s$, measured at the scale of the $Z$ boson mass, to its numerical value at some higher energy, for example the scale of Grand Unification, it is important to include higher order corrections both in the running ... More
A study of turbulence and interacting inertial modes in a differentially-rotating spherical shell experimentJul 05 2017We present a study of inertial modes in a differentially rotating spherical shell (spherical Couette flow) experiment with a radius ratio of $\eta = 1/3$. Inertial modes are Coriolis-restored linear wave modes which often arise in rapidly rotating fluids. ... More
Diskoseismology and QPOs Confront Black Hole SpinMay 08 2012Jun 01 2012We compare the determinations of the angular momentum of stellar mass black holes via the continuum and line methods with those from diskoseismology. The assumption being tested is that one of the QPOs (quasi-periodic oscillations) in each binary X-ray ... More
Generalized simulation model of teaching and its research on PCDec 21 2013One of the important problems of cyber pedagogy is the following: how, knowing the parameters of the student, his initial level of knowledge and the impact of the teacher to predict knowledge of student at subsequent times. Simulation method allows you ... More
Computer model of teaching with the varied coefficient of forgettingJan 12 2014At computer modeling of process of training it is usually supposed that all elements of a training material are forgotten with an identical speed. But in practice that knowledge which are included in educational activity of the pupil are remembered much ... More
Conditions for Steady Gravitational Radiation from Accreting Neutron StarsJul 26 2002The gravitational-wave and accretion driven evolution of the angular velocity, core temperature, and (small) amplitude of an r-mode of neutron stars in low mass X-ray binaries and similar systems is investigated. The conditions required for evolution ... More
Model sets: a surveyFeb 02 2000This article surveys the mathematics of the cut and project method as applied to point sets, called here {\em model sets}. It covers the geometric, arithmetic, and analytical sides of this theory as well as diffraction and the connection with dynamical ... More
Multi-component model of learning and its use for research didactic systemDec 17 2013In computer simulation of the learning process is usually assumed that all elements of the training material are assimilated equally durable. But in practice, the knowledge, which a student uses in its operations, are remembered much better. For a more ... More
The solution of complex problems on calculation of the electrostatic fields on lessons on computer modelingDec 13 2013In article the following tasks on computer modeling of electric fields are analyzed: 1) calculation of distribution of potential for the field created by two parallel plates and charged bodies in the non-uniform environment; 2) calculation of distribution ... More
Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical SpectraFeb 03 2009The paper investigates how correlations can completely specify a uniformly discrete point process. The setting is that of uniformly discrete point sets in real space for which the corresponding dynamical hull is ergodic. The first result is that all of ... More
Swing wave-wave interaction: Coupling between fast magnetosonic and Alfv{é}n wavesOct 07 2002We suggest a mechanism of energy transformation from fast magnetosonic waves propagating across a magnetic field to Alfv{\'e}n waves propagating along the field. The mechanism is based on {\it swing wave-wave interaction} [T.V. Zaqarashvili, Astrophys. ... More
Condensation energy in strongly coupled superconductorsSep 25 2002We consider the condensation energy in superconductors where the pairing is electronic in origin and is mediated by a collective bosonic mode. We use magnetically-mediated superconductivity as an example, and show that for large spin-fermion couplings, ... More
A Geometric Multigrid Preconditioning Strategy for DPG System MatricesAug 08 2016The discontinuous Petrov-Galerkin (DPG) methodology of Demkowicz and Gopalakrishnan [15,17] guarantees the optimality of the solution in an energy norm, and provides several features facilitating adaptive schemes. A key question that has not yet been ... More
Randomized Online Algorithms for the Buyback ProblemAug 01 2009In the matroid buyback problem, an algorithm observes a sequence of bids and must decide whether to accept each bid at the moment it arrives, subject to a matroid constraint on the set of accepted bids. Decisions to reject bids are irrevocable, whereas ... More
The product of parts or "norm" of a partitionApr 16 2019In this article we study the norm of an integer partition, which is defined as the product of the parts. This partition-theoretic statistic has appeared here and there in the literature of the last century or so, and is at the heart of current research ... More
Complementary Observables for the Determination of |Vub| in Inclusive Semileptonic B DecaysMay 14 2002Jun 24 2002The determination of |Vub| from inclusive semileptonic B decays is limited by uncertainties in modelling the decay distributions in b->ulnu transitions. The largest uncertainties arise from the limited knowledge of the appropriate b quark mass and Fermi ... More
Scanning the critical fluctuations -- application to the phenomenology of the two-dimensional XY-model --Aug 03 2006We show how applying field conjugated to the order parameter, may act as a very precise probe to explore the probability distribution function of the order parameter. Using this `magnetic-field scanning' on large-scale numerical simulations of the critical ... More
Multi-Component Model Sets and Invariant DensitiesSep 03 1998Model sets (also called cut and project sets) are generalizations of lattices, and multi-component model sets are generalizations of lattices with colourings. In this paper, we study self-similarities of multi-component model sets. The main point may ... More
Supersymmetry vs ghostsNov 10 2006Mar 27 2008We consider the simplest nontrivial supersymmetric quantum mechanical system involving higher derivatives. We unravel the existence of additional bosonic and fermionic integrals of motion forming a nontrivial algebra. This allows one to obtain the exact ... More
Wrinkling of a thin circular sheet bonded to a spherical substrateNov 06 2016We consider a disk-shaped thin elastic sheet bonded to a compliant sphere. If the bonding is stiff (but not too stiff), the geometry of the sphere makes the sheet wrinkle to avoid azimuthal compression. The total energy of this system is the elastic energy ... More
Dworkin's argument revisited: point processes, dynamics, diffraction, and correlationsDec 19 2007The paper studies the relationship between diffraction and dynamics for uniformly discrete ergodic point processes in real spaces. This relationship takes the form of an isometric embedding of two L^2 spaces. Diffraction (or equivalently the 2-point correlations) ... More
Weighted Dirac combs with pure point diffractionMar 04 2002Apr 07 2004A class of translation bounded complex measures, which have the form of weighted Dirac combs, on locally compact Abelian groups is investigated. Given such a Dirac comb, we are interested in its diffraction spectrum which emerges as the Fourier transform ... More
Automatic Computation Of Three-Loop Two-Point Functions In Large Momentum ExpansionNov 18 1996Nov 22 1996We discuss the calculation of two-point three-loop functions with an arbitrary number of massive propagators and one large external momentum. The relevant subdiagrams are generated automatically. The resulting massless two-point integrals and massive ... More
The coarsening of folds in hanging drapesJul 29 2015We consider the elastic energy of a hanging drape -- a thin elastic sheet, pulled down by the force of gravity, with fine-scale folding at the top that achieves approximately uniform confinement. This example of energy-driven pattern formation in a thin ... More
Self-Similar Measures for QuasicrystalsAug 08 2000We study self-similar measures of Hutchinson type, defined by compact families of contractions, both in a single and multi-component setting. The results are applied in the context of general model sets to infer, via a generalized version of Weyl's Theorem ... More
Similarity submodules and root systems in four dimensionsApr 07 1999Lattices and Z-modules in Euclidean space possess an infinitude of subsets that are images of the original set under similarity transformation. We classify such self-similar images according to their indices for certain 4D examples that are related to ... More
Invariant Submodules and Semigroups of Self-Similarities for Fibonacci ModulesSep 04 1998The problem of invariance and self-similarity in Z-modules is investigated. For a selection of examples relevant to quasicrystals, especially Fibonacci modules, we determine the semigroup of self-similarities and encapsulate the number of similarity submodules ... More
Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie GroupNov 08 2006The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group $G$. Such functions can always be restricted ... More
Fractionalized Non-Self-Dual Solutions in the CP(N-1) ModelJun 04 2013We study non-self-dual classical solutions in the CP(N-1) model with Z_N twisted boundary conditions on the spatially compactified cylinder. These solutions have finite, and fractional, classical action and topological charge, and are `unstable' in the ... More
Discretization of SU(2) and the Orthogonal Group Using Icosahedral Symmetries and the Golden NumbersMay 14 2017Aug 23 2017The vertices of the four dimensional $120$-cell form a non-crystallographic root system whose corresponding symmetry group is the Coxeter group $H_{4}$. There are two special coordinate representations of this root system in which they and their corresponding ... More
How model sets can be determined by their two-point and three-point correlationsJan 28 2009May 06 2009We show that real model sets with real internal spaces are determined, up to translation and changes of density zero by their two- and three-point correlations. We also show that there exist pairs of real (even one dimensional) aperiodic model sets with ... More