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Related papers: NLO evolution kernels for skewed transversity dist…

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The next-to-leading order (NLO) evolution of the parton distribution functions (PDFs) in QCD is a common tool in the lepton-hadron and hadron-hadron collider data analysis. The standard NLO DGLAP evolution is formulated for inclusive…

High Energy Physics - Phenomenology · Physics 2010-02-02 S. Jadach , M. Skrzypek , A. Kusina , M. Slawinska

The QCD evolution of both unpolarized and polarized generalized parton distributions (GPDs) to next-to-leading order (NLO) accuracy is presented, in both the DGLAP and ERBL regions, for two appropriately symmetrized input distributions…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Freund , M. F. McDermott

In this paper we derive an integral equation for the evolution of unintegrated (longitudinally) polarized quark and gluon parton distributions. The conventional CCFM framework is extended at small x in order to incorporate the QCD…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jan Kwiecinski , Martin Maul

We reexamine the derivation of the leading order QCD evolution equations of twist-3 quark-gluon correlation functions, $T_{q,F}(x,x)$ and $T^{(\sigma)}_{q,F}(x,x)$, which are the first transverse-momentum-moment of the…

High Energy Physics - Phenomenology · Physics 2012-06-22 Zhong-Bo Kang , Jian-Wei Qiu

We propose exclusive diffractive dijet photoproduction as an ideal measure of the off-diagonal gluon distribution at high scales. We solve the off-diagonal evolution equations for the gluon and quark singlet over the full kinematic domain.…

High Energy Physics - Phenomenology · Physics 2010-03-25 K. Golec-Biernat , J. Kwiecinski , A. D. Martin

We present a set of formulas to extract two second-order independent differential equations for the gluon and singlet distribution functions. Our results extend from the LO up to NNLO DGLAP evolution equations with respect to the…

High Energy Physics - Phenomenology · Physics 2014-02-04 G. R. Boroun , B. Rezaei

We provide code to solve the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for the nucleon transversity parton distribution functions (PDFs), which encode nucleon transverse spin structure. Though codes are widely…

High Energy Physics - Phenomenology · Physics 2025-12-18 Congzhou M Sha , Bailing Ma

I present results for top-quark double-differential distributions in transverse momentum and rapidity. Higher-order soft-gluon corrections from NNLL resummation are calculated through N$^3$LO. The corrections are large and they reduce…

High Energy Physics - Phenomenology · Physics 2020-04-15 Nikolaos Kidonakis

We review evolution equations for the truncated Mellin moments of the parton distributions and some their applications in QCD analysis. The main finding of the presented approach is that the $n$th truncated moment of the parton distribution…

High Energy Physics - Phenomenology · Physics 2015-06-19 Dorota Kotlorz , Andrzej Kotlorz

Analysing the asymptotic behaviour of the quark-quark elastic scattering amplitude at high energy and fixed transferred momentum and assuming that gluon is reggeized, we obtain the evolution equation for the gluon Regge trajectory in QCD.…

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

We present a general method for the solution of the renormalization group equations for the non-forward parton distributions on the two-loop level in the flavour singlet channel based on an orthogonal polynomial reconstruction. Using this…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller , L. Niedermeier , A. Schäfer

We present a preliminary set of updated NLO parton distributions. For the first time we have a quantitative extraction of the strange quark and antiquark distributions and their uncertainties determined from CCFR and NuTeV dimuon cross…

High Energy Physics - Phenomenology · Physics 2007-06-05 R. S. Thorne , A. D. Martin , W. J. Stirling , G. Watt

An approximated solution for gluon distribution from DGLAP evolution equations with NLO splitting function in the small-$x$ limit is presented. We first obtain the simplified forms of LO and NLO splitting functions in the small-$x$ limit.…

High Energy Physics - Phenomenology · Physics 2024-01-29 Jingxuan Chen , Xiaopeng Wang , Yanbing Cai , Xurong Chen , Qian Wang

I review what is known about the quark and gluon spin distributions in the nucleon. I discuss in some detail (a) the existence of sum rules for angular momentum; (b) the interpretation and possible measurement of the nucleon's transversity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. L. Jaffe

We show that, in dimensional reguralization in the minimal subtraction scheme, the QCD trace anomaly can be unambiguously decomposed into two parts coming from the renormalized quark and gluon energy momentum tensors. We carry out this…

High Energy Physics - Phenomenology · Physics 2018-12-26 Yoshitaka Hatta , Abha Rajan , Kazuhiro Tanaka

We report on re-calculation of the next-to-leading order DGLAP evolution kernels performed in a scheme suited for Monte Carlo simulations of parton cascades (parton showers).

High Energy Physics - Phenomenology · Physics 2016-08-17 A. Kusina , O. Gituliar , S. Jadach , M. Skrzypek

In this paper we present solutions of evolution equations for inclusive distribution of gluons as produced by jet traversing quark-gluon plasma. We reformulate the original equations in such a form that the virtual and unresolved-real…

High Energy Physics - Phenomenology · Physics 2019-05-01 K. Kutak , W. Placzek , R. Straka

In a previous publication, we have constructed a set of non-linear evolution equations for dipole scattering amplitudes in QCD at high energy, which extends the Balitsky-JIMWLK hierarchy by including the effects of fluctuations in the gluon…

High Energy Physics - Phenomenology · Physics 2011-01-25 E. Iancu , D. N. Triantafyllopoulos

We discuss the bounds on polarized parton distributions which follow from their definition in terms of cross section asymmetries. We spell out how the bounds obtained in the naive parton model can be derived within perturbative QCD at…

High Energy Physics - Phenomenology · Physics 2023-12-14 Guido Altarelli , Stefano Forte , Giovanni Ridolfi

Using the colour dipole picture for photon-nucleus interactions at small $x$ together with the Color Glass Condensate (CGC) effective theory, we demonstrate that the next-to-leading (NLO) order corrections to the cross-section for the…

High Energy Physics - Phenomenology · Physics 2025-05-05 Paul Caucal , Edmond Iancu
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