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The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

In these lecture notes the basics of QED corrections to hadronic decays are reviewed with special emphasis on conceptual (e.g. counting and tracking of infrared sensitive logs) rather than numerical aspects. General matters are illustrated…

High Energy Physics - Phenomenology · Physics 2022-05-13 Roman Zwicky

This thesis examines the non-leptonic B-decays within QCD factorisation and beyond, to challenge the assumptions and limitations of the method. We analyse the treatment of the distribution amplitudes of light mesons and present a new model…

High Energy Physics - Phenomenology · Physics 2007-05-23 Angelique N. Talbot

Using the classical recursion relations we compute scattering amplitudes in a spontaneously broken Gauge-Higgs theory into final states involving high multiplicities of massive vector bosons and Higgs bosons. These amplitudes are computed…

High Energy Physics - Phenomenology · Physics 2015-06-23 Valentin V. Khoze

We present an investigation of the pion's electromagnetic form factor F_{\pi}(Q^2) in the spacelike region utilizing two new ingredients: (i) a double-humped, endpoint-suppressed pion distribution amplitude derived before via QCD sum rules…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. P. Bakulev , K. Passek-Kumerički , W. Schroers , N. G. Stefanis

In this paper we calculate the power corrections to the pion transition form factor within the framework of perturbative QCD approach on the basis of $k_T$ factorization. The power suppressed contributions from higher twist pion wave…

High Energy Physics - Phenomenology · Physics 2019-08-07 Yue-Long Shen , Zhi-Tian Zou , Ying Li

We develop a unified approach for establishing rates of decay for the Fourier transform of a wide class of dynamically defined measures. Among the key features of the method is the systematic use of the $L^2$-flattening theorem obtained in…

Dynamical Systems · Mathematics 2024-12-23 Simon Baker , Osama Khalil , Tuomas Sahlsten

Phenomenological AdS/QCD models, like hard wall and soft wall, provide hadronic mass spectra in reasonable consistency with experimental and (or) lattice results. These simple models are inspired in the AdS/CFT correspondence and assume…

High Energy Physics - Theory · Physics 2016-11-01 Nelson R. F. Braga , M. A. Martin Contreras , Saulo Diles

We present a new factorization theorem for the decay rates of P-wave states of heavy quarkonia. Infrared logarithms that had appeared in previous perturbative calculations of P-wave decays are absorbed into a quantity that is related to the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Geoffrey T. Bodwin , Eric Braaten , G. Peter Lepage

We study partial fraction decompositions (PFDs) in several variables using tools from commutative algebra. We give criteria for when a rational function with poles on a hyperplane arrangement has a desirable PFD. Our criteria are obtained…

Commutative Algebra · Mathematics 2026-03-25 Claire de Korte , Teresa Yu

QCD is the theory of strong interactions and non-perturbative methods have been developed to address the confinement property of QCD. Many experimental measurements probe the confining dynamics, and it is well-known that hard scattering…

High Energy Physics - Phenomenology · Physics 2009-09-02 B. Pire , L. Szymanowski

We present a general theory for semiconductor polarons in the framework of the Froehlich interaction between electrons and phonons. The latter is investigated using non-commuting phonon creation/annihilation operators associated with a…

Other Condensed Matter · Physics 2012-02-09 D. Obreschkow , F. Michelini , S. Dalessi , E. Kapon , M. -A. Dupertuis

The thorough treatment of electron-lattice interactions from first principles is one of the main goals in condensed matter physics. While the commonly applied adiabatic Born-Oppenheimer approximation is sufficient for describing many…

We derive the QCD$\times$QED factorization theorem governing the leptonic decay $B^-\to\mu^-\bar\nu_\mu(\gamma)$ at all orders in $\alpha_s$ and $\alpha$. Electromagnetic corrections to this decay probe multiple scales, which we disentangle…

High Energy Physics - Phenomenology · Physics 2026-01-22 Claudia Cornella , Max Ferré , Matthias König , Matthias Neubert

The transition form factors describing the semileptonic decays of heavy pseudoscalar mesons are investigated within a relativistic constituent quark model formulated on the light-front. For the first time, the form factors are calculated in…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. L. Grach , I. M. Narodetskii , S. Simula

A complication in proving factorization theorems in Feynman gauge is that individual graphs give a super-leading power of the hard scale when all the gluons inducing the hard scattering are longitudinally polarized. With the aid of an…

High Energy Physics - Phenomenology · Physics 2009-11-13 J. C. Collins , T. C. Rogers

Previous work on electroweak radiative corrections to high energy scattering using soft-collinear effective theory (SCET) has been extended to include external transverse and longitudinal gauge bosons and Higgs bosons. This allows one to…

High Energy Physics - Phenomenology · Physics 2014-11-20 Jui-yu Chiu , Andreas Fuhrer , Randall Kelley , Aneesh V. Manohar

Elementary particle scatterings and decays in presence of a background magnetic field are very common in physics, specially after the observation that the core of the neutron stars can sustain a magnetic field of the order of $10^{13} {\rm…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kaushik Bhattacharya

We prove factorization theorem for the processes $\pi\gamma^*\to\gamma$ and $\pi\gamma^*\to\pi$ to leading twist in the covariant gauge by means of the Ward identity. Soft divergences cancel and collinear divergences are grouped into a pion…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hsiang-nan Li

We study strong decays of nonstrange baryons by making use of the algebraic approach to hadron structure. Within this framework we derive closed expressions for decay widths in an elementary-meson emission model and use these to analyze the…

Nuclear Theory · Physics 2009-10-30 R. Bijker , F. Iachello , A. Leviatan