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We study the first sub-leading correction $O((\ln s)^0)$ to the cusp anomalous dimension in the high spin expansion of finite twist operators in ${\cal N}=4$ SYM theory. This term is still governed by a linear integral equation which we…

高能物理 - 理论 · 物理学 2011-07-26 Davide Fioravanti , Paolo Grinza , Marco Rossi

We present a first study of gluonic twist-four corrections to the deep inelastic structure function F_2 at small x and small Q^2. The calculations are based upon the double logarithmic approximation of the coupled twist-four evolution…

高能物理 - 唯象学 · 物理学 2009-10-31 Jochen Bartels , Claas Bontus

(Quasi)conformal scaling of composite operators from a strongly coupled EWSB dynamics helps to produce the characteristic hierarchies exhibited by the flavour couplings of the SM. It is however crucial to ensure that specific models satisfy…

高能物理 - 格点 · 物理学 2013-11-19 Luigi Del Debbio , Liam Keegan , Carlos Pena

We study the threshold corrections for inclusive deep-inelastic scattering (DIS) and their all-order resummation. Using recent results for the QCD form factor, related anomalous dimensions and Mellin moments of DIS structure functions at…

高能物理 - 唯象学 · 物理学 2020-03-31 Goutam Das , Sven-Olaf Moch , Andreas Vogt

Spin-2 fields are often candidates in physics beyond the Standard Model namely the models with extra-dimensions where spin-2 Kaluza-Klein gravitons couple to the fields of the SM. Also, in the context of Higgs searches, spin-2 fields have…

高能物理 - 唯象学 · 物理学 2016-01-27 Taushif Ahmed , Goutam Das , Prakash Mathews , Narayan Rana , V. Ravindran

We present an expression for the leading-color (planar) four-loop four-point amplitude of N=4 supersymmetric Yang-Mills theory in 4-2 e dimensions, in terms of eight separate integrals. The expression is based on consistency of unitarity…

高能物理 - 理论 · 物理学 2008-11-26 Zvi Bern , Michael Czakon , Lance J. Dixon , David A. Kosower , Vladimir A. Smirnov

Using a careful choice of infrared (IR) subtraction scheme, we demonstrate the cancellation of all terms with transcendental weights 0,1,2 from the finite part of the full-color two-loop four-gluon $\mathcal{N}=2$ supersymmetric QCD…

高能物理 - 理论 · 物理学 2020-02-19 Gregor Kälin , Gustav Mogull , Alexander Ochirov , Bram Verbeek

Renormalization group evolution of QCD composite light-cone operators, built from two and more quark and gluon fields, is responsible for the logarithmic scaling violations in diverse physical observables. We analyze spectra of anomalous…

高能物理 - 理论 · 物理学 2011-08-17 A. V. Belitsky , A. S. Gorsky , G. P. Korchemsky

We present an analytic three-loop result for the leading color contribution to the Higgs-gluon form factor in QCD. The leading color contribution is given at next-to-next-to-leading order by the $N_c^2$-term in QCD with $N_c$ colors. The…

高能物理 - 唯象学 · 物理学 2021-03-16 Mario Prausa , Johann Usovitsch

In perturbation theory, the anomalous dimensions of twist-two operators have poles at negative or small positive integer values of spin and therefore must be resummed at these points. It was observed earlier that a certain quadratic…

高能物理 - 理论 · 物理学 2025-06-06 A. N. Manashov , S. Moch , L. A. Shumilov

We compute the twist-2 matching of the transverse-momentum-dependent (TMD) linearly polarized gluon parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, supplemented by…

高能物理 - 唯象学 · 物理学 2026-04-07 Yu Jiao Zhu

It is shown in the framework of the operator product expansion and the renormalization group method that the twist-3 part of flavour nonsinglet spin structure function g_2(x,Q^2) obeys a simple Dokshitzer-Gribov- Lipatov-Altarelli-Parisi…

高能物理 - 唯象学 · 物理学 2014-11-17 Ken Sasaki

At the end of 2016, we computed the five-loop (N$^4$LO) contributions to the beta function in perturbative Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum…

高能物理 - 唯象学 · 物理学 2025-10-31 F. Herzog , B. Ruijl , T. Ueda , J. Vermaseren , A. Vogt

I discuss and review soft anomalous dimensions in QCD that describe soft-gluon threshold resummation for a wide range of hard-scattering processes. The factorization properties of the cross section in moment space and renormalization-group…

高能物理 - 唯象学 · 物理学 2020-10-05 Nikolaos Kidonakis

In CFTs, the partition function of a line defect with a cusp depends logarithmically on the size of the line with an angle-dependent coefficient: the cusp anomalous dimension. In the first part of this work, we study the general properties…

高能物理 - 理论 · 物理学 2024-11-15 Gabriel Cuomo , Yin-Chen He , Zohar Komargodski

In this paper we evaluate the renormalization constants and anomalous dimensions for the squark wave function and mass within supersymmetric QCD. These results complement the ones obtained in Ref. \cite{Harlander:2009mn} and thus provide…

高能物理 - 唯象学 · 物理学 2015-05-28 Thomas Hermann , Luminita Mihaila , Matthias Steinhauser

We calculate the two-loop QCD anomalous dimension matrix (ADM) gamma^(1)_NDR in the NDR-MSbar scheme for all the flavour-changing four-quark dimension-six operators that are relevant in both the Standard Model and its extensions. Both…

高能物理 - 唯象学 · 物理学 2024-02-15 Andrzej J. Buras , Mikolaj Misiak , Joerg Urban

We compute analytically the two-loop contribution to the correlation function of the Lagrangian with a four-sided light-like (or null) Wilson loop in N=4 super Yang-Mills. As a non-trivial test of our result, we reproduce the three-loop…

高能物理 - 理论 · 物理学 2013-10-17 Luis F. Alday , Johannes M. Henn , Jakub Sikorowski

In eikonal and quenched approximation, it is argued that the strong coupling fermionic QCD Green's functions and related amplitudes depart from a sole dependence on the SUc(3) quadratic Casimir operator, C2f, evaluated over the fundamental…

高能物理 - 理论 · 物理学 2016-10-05 H. M. Fried , T. Grandou , R. Hofmann

We use conformal symmetry to calculate the NNLO anomalous dimension matrix (three loops) for flavor-singlet axial-vector QCD operators for spin $N \le 8$ from a set of gauge-invariant two-point correlation functions. Combining this result…

高能物理 - 唯象学 · 物理学 2025-10-20 V. M. Braun , K. G. Chetyrkin , A. N. Manashov
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