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We compute the contribution to the anomalous dimension of the twist-2 operators in N=4 SYM theory, which is proportional to the number of fermion loops inside Feynman diagrams or, formally, to the number of fermions. The result was obtained…

高能物理 - 理论 · 物理学 2022-11-30 V. N. Velizhanin

Both longitudinal and anomalous Hall conductivity are computed in the model of two-dimensional Dirac fermions with a mass in the presence of arbitrary correlated weak disorder. The anomalous Hall conductivity is shown to be highly sensitive…

无序系统与神经网络 · 物理学 2018-01-03 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

In this talk we present the result for the $n_f$ dependent piece of the three-loop cusp anomalous dimension in QCD. Remarkably, it is parametrized by the same simple functions appearing in analogous anomalous dimensions in ${\mathcal N}=4$…

高能物理 - 理论 · 物理学 2014-08-21 Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard

We report on measurements of the h_1 structure function, relevant to calculating cross-sections for the Drell-Yan process. This is a quantity which can not be measured in Deep Inelastic Scattering, it gives additional information on the…

高能物理 - 格点 · 物理学 2008-11-26 M. Goeckeler , R. Horsley , E. -M. Ilgenfritz , H. Oelrich , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller , P. Stephenson

We develop an efficient method for computing thermal partition functions of weakly coupled scalar fields in AdS. We consider quartic contact interactions and show how to evaluate the relevant two-loop vacuum diagrams without performing any…

高能物理 - 理论 · 物理学 2020-12-02 Per Kraus , Stathis Megas , Allic Sivaramakrishnan

Three-loop $\beta$-functions of the Minimal Supersymmetric Standard Model regularized by higher covariant derivatives are obtained for an arbitrary supersymmetric subtraction scheme. For this purpose we first calculate two-loop anomalous…

高能物理 - 唯象学 · 物理学 2022-10-19 Olesya Haneychuk , Valentina Shirokova , Konstantin Stepanyantz

We perform an explicit two-loop calculation of the dilatation operator acting on single trace Wilson operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in N=2 and N=4 supersymmetric Yang-Mills…

高能物理 - 理论 · 物理学 2008-11-26 A. V. Belitsky , G. P. Korchemsky , D. Müller

Scattering amplitudes in $D$ dimensions involve particular terms that originate from the interplay of UV poles with the $D-4$ dimensional parts of loop numerators. Such contributions can be controlled through a finite set of…

高能物理 - 唯象学 · 物理学 2020-10-28 Jean-Nicolas Lang , Stefano Pozzorini , Hantian Zhang , Max F. Zoller

We study the azimuthal asymmetries in proton-proton Drell-Yan processes with one incident proton being transversely or longitudinally polarized. We consider particularly the asymmetries contributed by the leading-twist chiral-odd quark…

高能物理 - 唯象学 · 物理学 2015-05-30 Zhun Lu , Bo-Qiang Ma , Jiacai Zhu

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 present the result of a calculation for the third and fourth moments of the non-singlet four-loop anomalous dimension of Wilson twist-2 operators in QCD with full color and flavour structures. We discuss also a general expressions for…

高能物理 - 唯象学 · 物理学 2014-12-17 V. N. Velizhanin

We show that, by viewing a 4D effective-field theory as the infrared (IR) limit of the compactified version in 5D, we can compute two-loop anomalous dimensions without gauge-breaking counter-terms, IR re-arrangement or geometric methods.…

高能物理 - 唯象学 · 物理学 2025-12-04 Mikael Chala , Javier López Miras

We present a generalisation of the double-logarithmic equation for the anomalous dimension of the non-singlet unpolarized twist-2 operators in QCD. Using the known three-loop result, this generalisation allows to predict a small x expansion…

高能物理 - 唯象学 · 物理学 2017-12-01 V. N. Velizhanin

We study the one-loop correction in Transverse-Momentum-Dependent(TMD) factorization for Drell-Yan processes at small transverse momentum of the lepton pair. We adopt the so-called subtractive approach, in which one can systematically…

高能物理 - 唯象学 · 物理学 2014-04-09 J. P. Ma , G. P. Zhang

We revive the idea of using physical anomalous dimensions in the QCD scale evolution of deep-inelastic structure functions and their scaling violations and present a detailed phenomenological study of its applicability. Differences with…

高能物理 - 唯象学 · 物理学 2013-11-13 Martin Hentschinski , Marco Stratmann

The analytic calculation of the three-loop QCD $\beta$-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the $\beta$-function coincides with the previous…

高能物理 - 唯象学 · 物理学 2011-05-05 S. A. Larin , J. A. M. Vermaseren

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 compute the one loop anomalous dimension of the gauge invariant dimension two operator min_U (A^U_mu)^2, where U is an element of the gauge group, by exploiting Zwanziger's expansion of the operator in terms of gauge invariant non-local…

高能物理 - 理论 · 物理学 2008-11-26 J. A. Gracey

Polarized proton-deuteron (pd) Drell-Yan processes are investigated for studying new spin structure of a spin-1 hadron. Our formalism indicates that there exist many structure functions: 108 in general and 22 in the \vec Q_T-integrated…

高能物理 - 唯象学 · 物理学 2009-10-31 S. Kumano

This work presents a first study of a radiative calculation for the gravitational axial anomaly in the massless Abelian Higgs model. The two loop contribution to the anomalous correlation function of one axial current and two…

高能物理 - 理论 · 物理学 2009-10-31 Jiannis Pachos , Ricardo Schiappa