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Using the PCAC relation, we derive a compact formula for the pion decay constant $F_{\pi}$ in the nonlocal chiral quark model. For practical calculations this formula may be used both in the Minkowski and in the Euclidean space. For the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bzdak , M. Praszalowicz

Based on the dual representation in terms of the recently established eigenfunctions of the evolution kernel in heavy-quark effective theory, we investigate the description of the B-meson light-cone distribution amplitude (LCDA) beyond…

High Energy Physics - Phenomenology · Physics 2014-06-11 Thorsten Feldmann , Bjorn O. Lange , Yu-Ming Wang

We extend our analysis of quasi-distributions onto the pion distribution amplitude. Using the formalism of parton virtuality distribution amplitudes (VDAs), we establish a connection between the pion transverse momentum dependent…

High Energy Physics - Phenomenology · Physics 2017-04-05 Anatoly V. Radyushkin

We study the non-forward matrix elements of twist-2 QCD light-ray operators and their representations in terms of skewed and double distributions, considering the pion as well as the nucleon. We point out the importance of explicitly…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. V. Polyakov , C. Weiss

The 1/N_c expansion for the baryon distribution amplitude is constructed in terms of a specially designed generating functional. At large N_c this functional shows exponential behavior. The exponential factor is universal for all low-lying…

High Energy Physics - Phenomenology · Physics 2009-11-11 P. V. Pobylitsa

We present results for the first two moments of the distribution amplitudes of pseudoscalar mesons. Using two flavors of non-perturbatively improved clover fermions and non-perturbative renormalization of the matrix elements we perform both…

High Energy Physics - Lattice · Physics 2008-11-26 V. M. Braun , M. Gockeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , W. Schroers , H. Stueben , J. M. Zanotti

In this paper, the unidirectional pulse propagation equation generalized to structured media is derived. A fast modal transform linking the spatio-temporal representation of the field and its modal distribution is presented. This transform…

Optics · Physics 2019-03-27 P. Béjot

We consider temperate distributions on Euclidean spaces with uniformly discrete support and locally finite spectrum. We find conditions on coefficients of distributions under which they are finite sum of derivatives of generalized lattice…

Functional Analysis · Mathematics 2022-12-01 Sergii Favorov

So far, the behavior of the pionic leading-twist distribution amplitude (DA) $\phi_{2;\pi}(x,\mu)$ $-$ which is universal physical quantity and enters the high-energy processes involving pion based on the factorization theorem $-$ has not…

High Energy Physics - Phenomenology · Physics 2023-04-07 Tao Zhong , Zhi-Hao Zhu , Hai-Bing Fu

We present the first simultaneous global QCD analysis of spin-dependent parton distribution functions alongside their spin-averaged counterparts and pion, kaon, and unidentified hadron fragmentation functions. This analysis includes all…

High Energy Physics - Phenomenology · Physics 2023-09-08 C. Cocuzza , W. Melnitchouk , A. Metz , N. Sato

Categorification of scattering amplitudes for planar Feynman diagrams in scalar field theories with a polynomial potential is reported. Amplitudes for cubic theories are directly written down in terms of projectives of hearts of…

High Energy Physics - Theory · Physics 2022-01-03 Severin Barmeier , Prafulla Oak , Aritra Pal , Koushik Ray , Hipolito Treffinger

We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are…

High Energy Physics - Phenomenology · Physics 2016-04-12 Daniel R. Bolton , Raul A. Briceno , David J. Wilson

Dipole polarizabilities of light pseudoscalar mesons are calculated in the framework of the mean field approach to QCD vacuum and bosonization based on the statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon…

High Energy Physics - Phenomenology · Physics 2023-05-31 Sergei Nedelko , Vladimir Voronin

Probability distributions produced by the cross-entropy loss for ordinal classification problems can possess undesired properties. We propose a straightforward technique to constrain discrete ordinal probability distributions to be unimodal…

Machine Learning · Statistics 2017-06-23 Christopher Beckham , Christopher Pal

We calculate the amplitude for exclusive neutrino production of a charmed meson on an unpolarized target, in the colinear QCD approach where generalized parton distributions (GPDs) factorize from perturbatively calculable coefficient…

High Energy Physics - Phenomenology · Physics 2015-09-02 B. Pire , L. Szymanowski

We investigate the possibility of identifying an explicit pionic component of the nucleon through measurements of polarized $\Delta^{++}$ baryon fragments produced in deep-inelastic leptoproduction off polarized protons, which may help to…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Melnitchouk , A. W. Thomas

We study the scattering of small color dipoles (e.g., heavy quarkonium states) at low energies. We find that even though the couplings of color dipoles to the gluon field can be described in perturbation theory, at large distances the…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Fujii , D. Kharzeev

The azimuthal spin asymmetries for pion production in semi-inclusive deep inelastic scattering of unpolarized charged lepton beams on longitudinally polarized nucleon targets, are reanalyzed by taking into account an important sign…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bo-Qiang Ma , Ivan Schmidt , Jian-Jun Yang

We compute the scattering amplitude for pion scattering in Wilson chiral perturbation theory for two degenerate quark flavors. We consider two different regimes where the quark mass m is of order (i) a\Lambda_QCD^2 and (ii)…

High Energy Physics - Lattice · Physics 2009-04-13 Sinya Aoki , Oliver Bar , Benedikt Biedermann

We investigate the pseudoscalar (PS) meson ($\pi$ and $K$) quasi-distribution amplitude (QDA), which is supposed to be an asymptotic analog to the meson distribution amplitude (DA) $\phi_{\pi,K}(x)$ in the limit of the large longitudinal…

High Energy Physics - Phenomenology · Physics 2017-12-20 Seung-il Nam
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