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Non-global logarithms arise from the sensitivity of collider observables to soft radiation in limited angular regions of phase space. Their resummation to next-to-leading logarithmic (NLL) order has been a long standing problem and its…

High Energy Physics - Phenomenology · Physics 2021-10-05 Andrea Banfi , Frédéric A. Dreyer , Pier Francesco Monni

Recent data on the structure function F_2(x,Q^2) at small values of x are analysed and compared with theoretical expectations. It is shown that the observed rise at small x is consistent with a logarithmic increase, growing logarithmically…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Buchmuller , D. Haidt

We make a critical, next-to-leading order, study of the accuracy of the Prytz relation, which is frequently used to extract the gluon distribution at small $x$ from the logarithmic slopes of the structure function $F_{2}$. We find that the…

High Energy Physics - Phenomenology · Physics 2009-09-25 K Golec-Biernat

Equations of motion for the light-like QCD Wilson loops are studied in the generalized loop space (GLS) setting. To this end, the classically conformal-invariant non-local variations of the cusped Wilson exponentials lying (partially) on…

High Energy Physics - Phenomenology · Physics 2015-03-06 I. O. Cherednikov , T. Mertens

We have developed a numerical framework for a full solution of the relativistic Boltzmann equations for the quark-gluon matter using the multiple Graphics Processing Units (GPUs) on distributed clusters. Including all the $2 \to 2$…

High Energy Physics - Phenomenology · Physics 2020-10-28 Jun-Jie Zhang , Hong-Zhong Wu , Shi Pu , Guang-You Qin , Qun Wang

In this paper, we address the full discretization of Friedrichs' systems with a two-field structure, such as Maxwell's equations or the acoustic wave equation in div-grad form, cf. [14]. We focus on a discontinuous Galerkin space…

Numerical Analysis · Mathematics 2025-03-10 Marlis Hochbruck , Malik Scheifinger

We address a long standing problem concerning the scale behaviour of parton densities in the low $x$, low $Q^2$ domain. We emphasize the important role of absorptive corrections at low $x$ and use knowledge of diffractive deep inelastic…

High Energy Physics - Phenomenology · Physics 2019-01-30 M. R. Pelicer , E. G. de Oliveira , A. D. Martin , M. G. Ryskin

The light-cone distribution amplitude (LCDA) of the pion contains information about the parton momentum carried by the quarks and is an important theoretical input for various predictions of exclusive processes at high energy, including the…

High Energy Physics - Lattice · Physics 2023-11-03 William Detmold , Anthony V. Grebe , Issaku Kanamori , C. -J. David Lin , Robert J. Perry , Yong Zhao

The decay of the Higgs boson into two photons is discussed. Using Sudakov technicue, we study a new type of double logarithms in the case of the light quark loop. First, we examine the origin of such logarithms at the one loop level. Then…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. I. Kotsky , O. I. Yakovlev

We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N = 12 for the pure-singlet quark case and N = 10 for all other cases. These results, obtained using physical…

High Energy Physics - Phenomenology · Physics 2023-10-10 S. Moch , B. Ruijl , T. Ueda , J. Vermaseren , A. Vogt

We extract the pion valence quark distribution $q^\pi_{\rm v}(x)$ from lattice QCD (LQCD) calculated matrix elements of spacelike correlations of one vector and one axial vector current analyzed in terms of QCD collinear factorization,…

We present a calculation of the effective cross section $\sigma_{eff}$, an important ingredient in the description of double parton scattering in proton-proton collisions. Our theoretical approach makes use of a Light-Front quark model as…

High Energy Physics - Phenomenology · Physics 2015-12-09 M. Rinaldi , S. Scopetta , M. Traini , V. Vento

We report a semi-analytical approach for the solution of the nonlinear Gribov-Levin-Ryskin-Mueller-Qiu (GLR-MQ) evolution equation for sea quark distribution and investigate the effect of gluon shadowing on the small-x and moderate-Q^2…

High Energy Physics - Phenomenology · Physics 2018-08-09 Mayuri Devee

The factorization of the amplitude of the process gamma* gamma -> gamma gamma in the low energy and high photon virtuality region is demonstrated at the Born order and in the leading logarithmic approximation. The leading order two photon…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. El Beiyad , B. Pire , L. Szymanowski , S. Wallon

The gluon recombination functions in the twist-4 QCD evolution equations are studied at the leading logarithmic approximation using both the covariant and non-covariant methods. We justify that the infrared singularities in the twist-4…

High Energy Physics - Phenomenology · Physics 2013-10-01 Wei Zhu , Zhenqi Shen

The small $x$ behaviour of polarized parton distributions is related to non-leading reggeons in the framework of the high-energy effective action. Double-logarithmic contributions to the reggeon interaction beyond the ones included in the…

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

The effects of the first nonlinear corrections to the DGLAP evolution equations are studied by using the recent HERA data for the structure function $F_2(x,Q^2)$ of the free proton and the parton distributions from CTEQ5L and CTEQ6L as a…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. J. Eskola , H. Honkanen , V. J. Kolhinen , Jianwei Qiu , C. A. Salgado

We report on a numerical study of the Boltzmann equation including $2\leftrightarrow 2$ scatterings of gluons and quarks in an overoccupied Glasma undergoing longitudinal expansion. We find that when a cascade of gluon number to the…

High Energy Physics - Phenomenology · Physics 2017-05-24 Naoto Tanji , Raju Venugopalan

We discuss the generalization of the leading-twist light-cone distribution amplitude for light mesons including QED effects. This generalization was introduced to describe virtual collinear photon exchanges above the strong-interaction…

High Energy Physics - Phenomenology · Physics 2021-11-24 Martin Beneke , Philipp Böer , Jan-Niklas Toelstede , K. Keri Vos

We derive the Leading-Order master equation to extract the polarized gluon distribution G(x;Q^2) = x \deltag(x;Q^2) from polarized proton structure function, g1p(x;Q^2). By using a Laplace-transform technique, we solve the master equation…

High Energy Physics - Phenomenology · Physics 2011-03-14 F. Taghavi-Shahri , A. Mirjalili , M. M. Yazdanpanah
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