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In this article we compute the action of the two loop dilatation operator on restricted Schur polynomials that belong to the su(2) sector, in the displaced corners approximation. In this non-planar large N limit, operators that diagonalize…

High Energy Physics - Theory · Physics 2015-06-05 Robert de Mello Koch , Garreth Kemp , Badr Awad Elseid Mohammed , Stephanie Smith

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…

High Energy Physics - Theory · Physics 2025-06-06 A. N. Manashov , S. Moch , L. A. Shumilov

We present the method, based on the use of the broken conformal Ward identities, for the calculation of the anomalous dimensions of conformal operators beyond the leading order of perturbation theory. By means of this technique we find the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Belitsky , D. Mueller

We calculate the gauge invariant Drell-Yan-like hadron tensors. In connection with new COMPASS results, we propose the single spin asymmetry which probes gluon poles together with chiral-odd and time-odd functions. The relevant pion…

High Energy Physics - Phenomenology · Physics 2017-07-05 I. V. Anikin , L. Szymanowski , O. V. Teryaev , N. Volchanskiy

On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions…

High Energy Physics - Phenomenology · Physics 2022-11-24 Pietro Baratella , Clara Fernandez , Benedict von Harling , Alex Pomarol

We investigate the integrability anomalies arising in the self-dual sectors of gravity and Yang-Mills theory, focusing on their connection to both the chiral anomaly and the trace anomaly. The anomalies in the self-dual sectors generate the…

High Energy Physics - Theory · Physics 2024-06-14 George Doran , Ricardo Monteiro , Sam Wikeley

This talk presents details of the calculation of two-loop corrections to heavy baryon currents containing one heavy quark in leading order of the $1/m_Q$-expansion, i.e. in the limit of Heavy Quark Symmetry (HQS). The calculations lead to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Groote

We study single spin asymmetries at one-loop accuracy in Drell-Yan processes in which one of the initial hadrons is transversely polarized. The spin-dependent part of differential cross-sections can be factorized with various hadronic…

High Energy Physics - Phenomenology · Physics 2017-04-12 A. P. Chen , J. P. Ma , G. P. Zhang

We derive two-loop anomalous dimensions for four-Fermi operators in supersymmetric theories using the effective Kahler potential. We introduce the general forms in generic gauge theories and apply our results to the flavor-changing…

High Energy Physics - Phenomenology · Physics 2017-07-13 Junji Hisano , Takumi Kuwahara , Yuji Omura , Takeki Sato

We present the analytic calculation of the Mellin moments of the structure functions F_2, F_3 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Moch , J. A. M. Vermaseren

We propose a mechanism for calculating anomalous dimensions of higher-spin twist-two operators in N=4 SYM. We consider the ratio of the two-point functions of the operators and of their superconformal descendants or, alternatively, of the…

High Energy Physics - Theory · Physics 2009-11-11 J. Henn , C. Jarczak , E. Sokatchev

The anomalous magnetic moment of the muon is one of the most fundamental observables. It has been measured experimentally with a very high precision and on theory side the contributions from perturbative QED have been calculated up to…

High Energy Physics - Phenomenology · Physics 2014-02-06 P. A. Baikov , A. Maier , P. Marquard

The proton's transversity distribution will be measured at BNL's Relativistic Heavy Ion Collider in upcoming experiments using the transverse Drell-Yan process. Understanding the one-loop corrections is therefore important. Here, the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Basim Kamal

We give a direct path-integral calculation of the partition function for pure 3+1 dimensional U(N) Yang-Mills theory at large N on a small three-sphere, up to two-loop order in perturbation theory. From this, we calculate the one-loop shift…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Joseph Marsano , Mark Van Raamsdonk

We calculate the perturbative $T$-odd contributions to the lepton angular distribution in the Drell-Yan process. Using collinear factorization, we work at the first order in QCD perturbation theory where these contributions appear, ${\cal…

High Energy Physics - Phenomenology · Physics 2024-06-14 Valery E. Lyubovitskij , Werner Vogelsang , Fabian Wunder , Alexey S. Zhevlakov

We extend and develop a method for perturbative calculations of anomalous dimensions and mixing matrices of leading twist conformal primary operators in conformal field theories. Such operators lie on the unitarity bound and hence are…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , J. Henn , C. Jarczak , D. Müller , E. Sokatchev

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Koike , N. Nishiyama

I will review some of the recent intense activity concerning infrared and collinear divergences in gauge theory amplitudes. The central quantity in these studies is the multi-particle soft anomalous dimension matrix, which is completely…

High Energy Physics - Phenomenology · Physics 2014-08-05 Lorenzo Magnea

We give a short account of recent advances in our understanding of the $\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions (ADs) and $\beta$-functions. We extend the considerations of…

High Energy Physics - Phenomenology · Physics 2020-01-08 P. A. Baikov , K. G. Chetyrkin

We estimate the power corrections (infrared renormalon contributions) to the coefficient functions for the differential Drell-Yan cross-section $d^2\sigma/dQ^2dy$, where $Q^2$ is the mass squared and $y$ the rapidity of the produced lepton…

High Energy Physics - Phenomenology · Physics 2010-02-03 Mrinal Dasgupta