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相关论文: Next-to-leading order Q^2-evolution of the transve…

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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. Because of the chiral-odd nature, $h_1$ does not mix with…

高能物理 - 唯象学 · 物理学 2007-05-23 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 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 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

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

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

We extend the resummation of dimensionally-regulated amplitudes to next-to-next-to-leading poles. This requires the calculation of two-loop anomalous dimension matrices for color mixing through soft gluon exchange. Remarkably, we find that…

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

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

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

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

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 determine the anomalous dimension matrix for the transversity operator mixing into total derivative operators in the limit of a large number of quark flavors $n_f$ to fourth order in the strong coupling $\alpha_s$ in the…

高能物理 - 唯象学 · 物理学 2022-05-23 S. Van Thurenhout

Chiral-odd structure function h1 is expected to be measured in polarized Drell-Yan process. We calculate two-loop anomalous dimensions for h1 in the minimal subtraction scheme. Dimensional regularization and Feynman gauge are used for…

高能物理 - 唯象学 · 物理学 2009-12-30 S. Kumano , M. Miyama

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

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 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

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 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 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

The impact of the resummed next-to-leading logarithmic small-$x$ contributions to the anomalous dimension $\gamma_{gg}$ is evaluated for the unpolarized parton densities and structure functions of the nucleon. These new terms diminish the…

高能物理 - 唯象学 · 物理学 2016-09-06 J. Blümlein , A. Vogt
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