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We discuss a new leading-order parameterization of generalized parton distributions of the proton, which is based on the idea of duality. In its minimal version, the parameterization is defined by the usual quark singlet parton…

High Energy Physics - Phenomenology · Physics 2009-01-07 V. Guzey , M. V. Polyakov

We analyze in detail the problem of gauge invariance of the deeply vitual Compton scattering (DVCS) amplitude. Using twist 3 one-gluon exchange diagram contributions and the QCD equations of motion, we derive the general gauge invariant…

High Energy Physics - Phenomenology · Physics 2009-12-30 I. V. Anikin , B. Pire , O. V. Teryaev

We derive an expression for the $B\to\pi$ transition form factor only depending the twist-3 distribution amplitudes by choosing an adequate chiral current correlator in the light-cone QCD sum rules. Our result show that the contribution…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ming-Zhen Zhou , Xing-Hua Wu , Tao Huang

We explore the complete cross-section for the production of unpolarized hadrons in semi-inclusive deep-inelastic scattering up to power-suppressed $\mathcal{O}(1/Q^2)$ terms in the Wandzura-Wilczek-type (WW-type) approximation, which…

High Energy Physics - Phenomenology · Physics 2019-07-30 S. Bastami , H. Avakian , A. V. Efremov , A. Kotzinian , B. U. Musch , B. Parsamyan , A. Prokudin , M. Schlegel , G. Schnell , P. Schweitzer , K. Tezgin

Double deeply virtual Compton scattering (DDVCS) is the process where an electron scatters off a nucleon and produces a lepton pair. The main advantage of this process in contrast with deeply virtual and timelike Compton scatterings (DVCS…

High Energy Physics - Phenomenology · Physics 2023-05-09 K. Deja , V. Martinez-Fernandez , B. Pire , P. Sznajder , J. Wagner

This paper explores the possibility of establishing an analytic form of the distribution of the order parameter fluctuations in a two-dimensional critical spin wave model, or width fluctuations of a two dimensional Edwards-Wilkinson…

Statistical Mechanics · Physics 2022-04-13 Steven T. Bramwell

We compute amplitude of deeply virtual Compton scattering in the parton model. We found that the amplitude up to the accuracy O(1/Q) depends on new skewed parton distributions (SPD's). These additional contributions make the DVCS amplitude…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Penttinen , M. V. Polyakov , A. G. Shuvaev , M. Strikman

In this letter, we analyse and interpret the kinematic power corrections to deeply virtual Compton scattering dispersion relation. We show that the kinematic corrections at twist-4 can be connected to other form factors of the…

High Energy Physics - Phenomenology · Physics 2026-03-05 Víctor Martínez-Fernández , Daniele Binosi , Cédric Mezrag , Zhao-Qian Yao

We present a method for parametrizing heavy meson semileptonic form factors using dispersion relations, and from it produce a two-parameter description of the B -> B elastic form factor. We use heavy quark symmetry to relate this function…

High Energy Physics - Phenomenology · Physics 2010-11-11 C. G. Boyd , B. Grinstein , R. Lebed

We calculate the tunneling process of a Dirac particle across two square barriers separated a distance $d$, as well as the scattering by a double cusp barrier where the centers of the cusps are separated a distance larger than their…

Quantum Physics · Physics 2015-05-18 Victor M. Villalba , Luis Gonzalez-Arraga

Certain exact relations among transverse momentum dependent parton distribution functions due to QCD equations of motion turn into approximate ones upon the neglect of pure twist-3 terms. On the basis of available data from HERMES we test…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Avakian , A. V. Efremov , K. Goeke , A. Metz , P. Schweitzer , T. Teckentrup

A group theoretical procedure for parametrizing non-forward matrix elements of non-local QCD operators is introduced. The related (two-variable) distribution amplitudes are given as sum over power corrections of the double distributions.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bodo Geyer , Markus Lazar , Dieter Robaschik

We report on a calculation to show that the Fourier transform of the Deeply Virtual Compton Scattering (DVCS) amplitude with respect to the skewness variable \zeta at fixed invariant momentum transfer squared t gives results that are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Asmita Mukherjee

We derive exact quantum expressions for the localization length $L_c$ for weak disorder in two- and three chain tight-binding systems coupled by random nearest-neighbour interchain hopping terms and including random energies of the atomic…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 J. Heinrichs

We present a dispersive representation of the D-term form factor for hard exclusive reactions, using unsubtracted $t$-channel dispersion relations. The $t$-channel unitarity relation is saturated with the contribution of two-pion…

High Energy Physics - Phenomenology · Physics 2014-11-04 B. Pasquini , M. V. Polyakov , M. Vanderhaeghen

Molecular beams of rare gas atoms and D_2 have been diffracted from 100 nm period SiN_x transmission gratings. The relative intensities of the diffraction peaks out to the 8th order depend on the diffracting particle and are interpreted in…

Quantum Physics · Physics 2016-09-08 R. E. Grisenti , W. Schoellkopf , J. P. Toennies , G. C. Hegerfeldt , T. Koehler

High-energy wide-angle photoproduction of pion-Delta final states is investigated within the handbag mechanism to twist-3 accuracy. In this approach the process amplitudes factorize in a hard partonic subprocess and and in form factors…

High Energy Physics - Phenomenology · Physics 2025-01-07 P. Kroll

We introduce a novel discretization technique for both elliptic and parabolic fractional diffusion problems based on double exponential quadrature formulas and the Riesz-Dunford functional calculus. Compared to related schemes, the new…

Numerical Analysis · Mathematics 2020-12-11 Alexander Rieder

Distribution amplitudes are functions of non-perturbative matrix elements describing the hadronization of quarks and gluons. Thanks to factorization theorems, they can be used to compute the scattering amplitude of high-energy processes.…

High Energy Physics - Lattice · Physics 2024-09-23 Benoît Blossier , Mariane Mangin-Brinet , José Manuel Morgado Chávez , Teseo San José

The longitudinal-transverse spin asymmetry A_{LT} in the polarized Drell-Yan process depends on the twist-3 spin-dependent distributions of nucleon. In addition to the contributions expressed as matrix element of the twist-3 operators,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuji Koike , Kazuhiro Tanaka , Shinsuke Yoshida