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Related papers: The Resummed Gluon Anomalous Dimension and Structu…

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We present a phenomenological study of the small-x behaviour of gluon distribution function $G(x,Q^2)$ at next-to-leading order (NLO) and next-to-next-to-leading order(NNLO) in light of the nonlinear Gribov-Ryskin-Levin-Mueller-Qiu…

High Energy Physics - Phenomenology · Physics 2019-01-23 M. Lalung , P. Phukan , J. K. Sarma

In this talk, we revisit inclusive DIS in the small $x$ limit and derive a new factorization formula that accounts for leading powers in both Bjorken and Regge limits. In this semi-classical description, we obtain a new unintegrated gluon…

High Energy Physics - Phenomenology · Physics 2021-10-06 Yacine Mehtar-Tani

The anomalous dimension for the gauge-invariant-canonical decomposition of the energy-momentum tensor for quarks and gluons is studied by the background field method. In particular, the consistency between the background field method and…

High Energy Physics - Phenomenology · Physics 2017-02-17 Yoshio Kitadono , Pengming Zhang

After a brief review on the technique of resumming the large logarithmic terms $\alpha^n_s \ln^m(Q^2/Q^2_T)$ due to the effects of multiple gluon emission predicted by the QCD theory, I discuss its application in the production of $W^\pm$,…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. -P. Yuan

We compute the distribution functions for gluons at very small x and not too large values of transverse momenta. We extend the McLerran-Venugopalan model by using renormalization group methods to integrate out effects due to those gluons…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jamal Jalilian-Marian , Alex Kovner , Larry McLerran , Heribert Weigert

In the context of the so-called valon model, we calculate $\frac{\delta g}{g}$ and show that although it is small and compatible with the measured values, the gluon contribution to the spin of nucleon can be sizable. The smallness of…

High Energy Physics - Phenomenology · Physics 2014-11-21 Abolfazl Shahveh , Fatemeh Taghavi-Shahri , Firooz Arash

An estimation of the higher twist contribution to the polarized nonsinglet structure function $g_1$ is given. Its first moment is generally assumed to be small but this could be due to a cancellation of its contribution in different…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Meyer-Hermann , M. Maul , L. Mankiewicz , E. Stein , A. Schäfer

We present a calculation of the two-loop anomalous dimension for the transversity distribution $h_1(x,Q^2)$, $\gamma^{h(1)}_n$, in the MS scheme of the dimensional regularization. Because of the chiral-odd nature, $h_1$ does not mix with…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hayashigaki , Y. Kanazawa , Yuji Koike

It was shown recently that standard resummation of logarithms of $Q/p_T$ can be supplemented with the resummation of logarithmic contributions at large $x=Q^2/s$ in the case of a colourless final state such as Higgs produced via gluon…

High Energy Physics - Phenomenology · Physics 2021-09-09 Tanjona R. Rabemananjara

We present numerical solutions of the $Q^2$ evolution equations at next-to-leading order (NLO) for unpolarized and polarized parton distributions, in both the flavor non-singlet and singlet channels. The numerical method is based on a…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Weigl , W. Melnitchouk

We investigate the recently proposed nonlinear equation for the unintegrated gluon distribution function which includes the subleading effects at small $x$. We obtained numerically the solution to this equation in $(x,k)$ space, and also…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kutak , A. M. Stasto

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/x) and \alpha_s(Q^2). There is no factorization scheme dependence, and the ``physical anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robert S. Thorne

We revisit the Next-to-Leading Order (two-loop) contributions to the Anomalous Dimensions of $\Delta F = 1$ four-quark operators in QCD. We devise a test for anomalous dimensions, that we regard as of general interest, and by means of which…

High Energy Physics - Phenomenology · Physics 2025-06-19 Pol Morell , Javier Virto

The anomalous dimension $\gamma_m =1$ in the infrared region near conformal edge in the broken phase of the large $N_f$ QCD has been shown by the ladder Schwinger-Dyson equation and also by the lattice simulation for $N_f=8$ for $ N_c=3$.…

High Energy Physics - Phenomenology · Physics 2023-10-06 Koichi Yamawaki

At very high energies, the relevant component of the hadron wavefunction can be described as a Color Glass Condensate, i.e., a state of high density gluonic matter whose distribution is random, but frozen over the relevant time scales. The…

High Energy Physics - Phenomenology · Physics 2017-08-23 Edmond Iancu

We investigate the gluon distribution functions and their contributions to the Higgs boson production in pp collisions in the transverse momentum dependent factorization formalism. In addition to the usual azimuthal symmetric transverse…

High Energy Physics - Phenomenology · Physics 2013-05-29 Peng Sun , Bo-Wen Xiao , Feng Yuan

Future high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as…

High Energy Physics - Phenomenology · Physics 2022-02-16 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We perform an analysis of transverse-momentum dependent parton distribution functions, making use of their renormalization properties in terms of their leading-order anomalous dimensions. We show that the appropriate Wilson line in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. O. Cherednikov , N. G. Stefanis

A leading-twist factorization formula is derived for the longitudinal structure function in the x -->1 limit of deeply inelastic scattering. This is achieved by defining a new jet function which is gauge independent and probes the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , M. G. Sotiropoulos

Renormalisation induces anomalous contributions in light-cone correlation functions. We discuss the role of the axial anomaly and gluon topology in non-forward parton distributions noting that non-forward matrix elements of the gluonic…

High Energy Physics - Phenomenology · Physics 2009-11-07 Steven D. Bass