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We use an s-channel picture of hard hadronic collisions to investigate the parton distribution function for quarks at small momentum fraction x, which corresponds to very high energy scattering. We study the renormalized quark distribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann , D. E. Soper

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson line expectation value we find that there is one-to-one correspondence between high…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. A. Korchemskaya , G. P. Korchemsky

In this paper, we examine the effect of nonzero quark masses on the renormalization of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson line (called Wilson-line operators). These operators are relevant to…

High Energy Physics - Lattice · Physics 2018-07-25 G. Spanoudes , H. Panagopoulos

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. A. Gracey

I discuss elastic dipole-dipole scattering in QCD at high energies, with emphasis on the relation between Mueller's dipole picture and the Color Glass Condensate, and on the importance of rare fluctuations for the high-energy limit of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond Iancu

In this paper we consider some analytic properties of the high--energy quark--quark scattering amplitude, which, as is well known, can be described by the expectation value of two lightlike Wilson lines, running along the classical…

High Energy Physics - Theory · Physics 2007-05-23 Enrico Meggiolaro

We investigate the renormalization of a class of gauge-invariant nonlocal quark bilinear operators, including a finite-length Wilson-line (called Wilson-line operators). The matrix elements of these operators are involved in the recent…

High Energy Physics - Lattice · Physics 2018-11-09 Gregoris Spanoudes , Haralambos Panagopoulos

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson lines vacuum expectation values and studying their properties, we find that the…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. P. Korchemsky

The general parameterization of the quark-quark correlation function for a spin-1/2 hadron is considered. The presence of the Wilson line ensuring color gauge invariance of the correlator induces structures that were not given explicitly in…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. Goeke , A. Metz , M. Schlegel

We consider deeply inelastic scattering at very high energies in the saturation regime. The emerging picture corresponds to the propagation of a dipole, the quark-antiquark pair, in a shock wave color field of the target. We use the…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. I. Balitsky , A. V. Belitsky

It is well known that high-energy scattering of a meson from some hadronic target can be described by the interaction of that target with a color dipole formed by two Wilson lines corresponding to fast quark-antiquark pair. Moreover, the…

High Energy Physics - Phenomenology · Physics 2015-06-19 I. Balitsky , A. V. Grabovsky

It is known that the high-energy quark-quark scattering amplitude can be described by the expectation value of two lightlike Wilson lines, running along the classical trajectories of the two colliding particles. Generalizing the results of…

High Energy Physics - Theory · Physics 2011-09-13 Enrico Meggiolaro

I demonstrate that the amplitude of the high-energy scattering can be factorized in a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ian Balitsky

I demonstrate that the amplitude of the high-energy scattering can be factorized in a product of two independent functional integrals over "fast" and "slow" fields which interact by means of Wilson-line operators -- gauge factors ordered…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky

A model for elastic scattering of protons at high energies based on the quark-diquark representation of the proton is discussed. The predictions of the model are compared with experimental data for the differential elastic cross-sections…

High Energy Physics - Phenomenology · Physics 2015-06-12 V. M. Grichine , N. I. Starkov , N. P. Zotov

We study quantitatively the importance of the recently derived NLO corrections to the DIS structure functions at small x in the dipole formalism. We show that these corrections can be significant and depend on the factorization scheme used…

High Energy Physics - Phenomenology · Physics 2017-11-29 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

We construct wave operators and a scattering operator for the scattering of a charged particle on the Dirac magnetic monopole. The analysis features a two Hilbert space approach in which the identification operator matches states of the…

Mathematical Physics · Physics 2021-04-07 J. Dimock

We apply the AdS/CFT correspondence to derive expressions for the scattering amplitudes at high energy for gauge theories at strong coupling. A method is proposed based on the computation of correlators of Wilson loop operators by their…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

We briefly discuss the quark-antiquark Bethe-Salpeter equation and the quark Dyson-Schwinger equation derived in preceding papers. We also consider the q-qbar quadratic mass operator M^{2} = (w_{1} + w_{2})^{2} + U obtained by…

High Energy Physics - Phenomenology · Physics 2011-04-15 M. Baldicchi , G. M. Prosperi

Angular and energy distributions for leptons and bottom quarks in the process e^+e^- --> t t-bar --> l^{+-}/b(b-bar) ... have been calculated assuming the most general top-quark couplings. The double distributions depend both on…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bohdan Grzadkowski , Zenro Hioki
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