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相关论文: NLO $Q^2$-evolution of the nucleon's transversity …

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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. Due to the chiral-odd nature, h_1 does not mix with the gluon…

高能物理 - 唯象学 · 物理学 2016-08-25 A. Hayashigaki , Y. Kanazawa , Yuji Koike

We calculate the leading order anomalous dimension of the transversity structure function directly using three different methods, the local light-cone expansion in the forward case, the non-forward case, and the short-distance expansion of…

高能物理 - 唯象学 · 物理学 2009-01-07 Johannes Blümlein

We report on recent progress on the splitting functions for the evolution of parton distributions and related quantities, the (lightlike) cusp anomalous dimensions, in perturbative QCD. New results are presented for the four-loop…

高能物理 - 唯象学 · 物理学 2018-08-29 A. Vogt , F. Herzog , S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren

We show that a standard calculation of the splitting function for the nonsinglet structure function h_1 does not lead to the expected result. The calculation is compared to the corresponding derivation of the splitting function for the…

高能物理 - 唯象学 · 物理学 2009-10-31 Michael Meyer-Hermann , Ralf Kuhn , Ralf Schützhold

We study the $Q^2$ dependence of the chiral-odd twist-3 distribution $e(x,Q^2)$.The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the…

高能物理 - 唯象学 · 物理学 2009-10-28 Yuji Koike , N. Nishiyama

We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the N=1 superconformal group. We…

高能物理 - 唯象学 · 物理学 2009-10-31 A. V. Belitsky , D. Muller , A. Schafer

We consider the anomalous dimension $\gamma_{gg}^{(3)}(N)$ of the twist-two gluon operator of arbitrary Lorentz spin $N$ in the quark flavor singlet sector of a general gauge theory at four loops and construct its contribution proportional…

高能物理 - 唯象学 · 物理学 2026-04-29 B. A. Kniehl , S. -O. Moch , V. N. Velizhanin , A. Vogt

The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2 to n massless processes for the first time at two loops. Using color generator…

高能物理 - 唯象学 · 物理学 2009-04-06 S. Mert Aybat , Lance J. Dixon , George Sterman

I calculate the anomalous dimension governing the Q^2 evolution of the gluon (and structure functions) coming from the running coupling BFKL equation. This may be expressed in an exact analytic form, up to a small ultraviolet renormalon…

高能物理 - 唯象学 · 物理学 2009-10-31 R. S. Thorne

We study the effects of quantum corrections on transverse momentum broadening of a fast parton passing through dense QCD matter. We show that, at leading logarithmic accuracy the broadening distribution tends at late times or equivalently…

高能物理 - 唯象学 · 物理学 2022-10-05 Paul Caucal , Yacine Mehtar-Tani

We study the Q^2 evolution of the nucleon's chiral-odd twist-3 distribution h_L(x,Q^2) starting from the MIT bag model calculation. A simple GLAP equation for h_L(x,Q^2) obtained at large N_c is used for the Q^2 evolution. The correction…

高能物理 - 唯象学 · 物理学 2016-09-06 Y. Kanazawa , Yuji Koike

We compute the quark and antiquark transversity distributions in the nucleon at a low normalization point of 600 MeV in the large-$N_c$ limit, where the nucleon can be described as a soliton of an effective chiral theory (chiral…

高能物理 - 唯象学 · 物理学 2014-11-17 P. Schweitzer , D. Urbano , M. V. Polyakov , C. Weiss , P. V. Pobylitsa , K. Goeke

Because the chiral-odd structure function h_1 will be measured in the polarized Drell-Yan process, it is important to predict the behavior of h_1 before the measurement. In order to study the Q^2 evolution of h_1, we discuss one and two…

高能物理 - 唯象学 · 物理学 2007-05-23 S. Kumano , M. Miyama

We prove that the twist-3 chiral-odd parton distributions obey simple GLAP evolution equations in the limit $N_c\to\infty$ and give analytic formulae for the corresponding anomalous dimensions. The results are valid to O(1/N_{c}^2) accuracy…

高能物理 - 唯象学 · 物理学 2007-05-23 I. I. Balitsky , V. M. Braun , Y. Koike , K. Tanaka

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function $F_2(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ and the associated operator matrix element $A_{qq,Q}^{(3), \rm…

高能物理 - 唯象学 · 物理学 2014-07-23 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wißbrock

We discuss the $Q^2$ dependence of the chiral-odd twist-3 distribution $e(x,Q^2)$. The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the…

高能物理 - 唯象学 · 物理学 2007-05-23 Y. Koike , N. Nishiyama

We find that the anomalous dimension (in the $\bar{MS}$ scheme) of the chromo-magnetic operator $g_s\bar h_v\sigma_{\mu\nu} G^{\mu\nu} h_v$ in the heavy-quark effective theory is \gamma_{mag} = (C_A\alpha_s / 2\pi) [1 + ( 17/18 C_A - 13/18…

高能物理 - 唯象学 · 物理学 2009-10-30 G. Amorós , M. Beneke , M. Neubert

We evaluate the complete four-loop anomalous dimension matrix that is necessary for determining the effective flavour-changing neutral current couplings qbar-q'-gamma and qbar-q'-g at the next-to-next-to-leading order in QCD. The resulting…

高能物理 - 唯象学 · 物理学 2010-10-27 Michal Czakon , Ulrich Haisch , Mikolaj Misiak

In this letter, we present the NNLL-NNLO transverse momentum Higgs distribution arising from gluon fusion. In the regime $p_\perp\ll m_H$ we include the resummation of the large logs at next to next-to leading order and then match on to the…

高能物理 - 唯象学 · 物理学 2016-01-27 Duff Neill , Ira Z. Rothstein , Varun Vaidya

The mass anomalous dimension is determined in SU(2) gauge theory coupled to $N_f$ fermions in the adjoint representation for $N_f = 2$, $3/2$, $1$ and $1/2$, where half-integer flavor numbers correspond to Majorana fermions. The numerical…

高能物理 - 格点 · 物理学 2020-11-06 Camilo Lopez , Georg Bergner , Istvan Montvay , Stefano Piemonte
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