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Related papers: Twist-2 at five loops: Wrapping corrections withou…

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Critical exponents are computed for a variety of twist-2 composite operators, which occur in polarized and unpolarized deep inelastic scattering, at leading order in the 1/N_f expansion. The resulting d-dimensional expressions, which depend…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. Gracey

We compute the anomalous dimensions of the flavour non-singlet twist-2 Wilson operators in the RI'/SMOM scheme at two loops in an arbitrary linear covariant gauge. In addition we provide the full Green's function for these operators…

High Energy Physics - Phenomenology · Physics 2011-05-24 J. A. Gracey

One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients of double-twist operators with large spin. It is expected that similar results for…

High Energy Physics - Theory · Physics 2023-09-15 Apratim Kaviraj , Jeremy A. Mann , Lorenzo Quintavalle , Volker Schomerus

Relying on a few lowest order perturbative calculations of anomalous dimensions of gauge invariant operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in maximally supersymmetric gauge theory, we…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky

We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially extend its recent four-loop computation at weak coupling to include non-planar…

High Energy Physics - Theory · Physics 2018-01-17 Marco S. Bianchi , Andrea Mauri

We determine non-perturbatively the anomalous dimensions of the second moment of non-singlet parton densities from a continuum extrapolation of results computed in quenched lattice simulations at different lattice spacings. We use a…

High Energy Physics - Lattice · Physics 2009-10-31 M. Guagnelli , K. Jansen , R. Petronzio

The anomalous dimension for heavy-heavy-light effective theory operators describing nuclear beta decay is computed through three-loop order in the static limit. The result at order $Z^2\alpha^3$ corrects a previous result in the literature.…

High Energy Physics - Phenomenology · Physics 2024-09-04 Kaushik Borah , Richard J. Hill , Ryan Plestid

The renormalization of the scalar diquark operator and its anomalous dimension is calculated at two-loop order in QCD, enabling higher-order QCD studies of diquarks. As an application of our result, the two-loop diquark anomalous dimension…

High Energy Physics - Phenomenology · Physics 2011-11-30 R. T. Kleiv , T. G. Steele

We present the two-loop corrected operator matrix elements calculated in N-dimensional regularization up to the finite terms which survive in the limit $\epsilon = N - 4 \to 0 $. The anomalous dimensions of the local operators have been…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Matiounine , J. Smith , W. L. van Neerven

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 consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

High Energy Physics - Phenomenology · Physics 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

The renormalization-group functions of the two-dimensional n-vector \lambda \phi^4 model are calculated in the five-loop approximation. Perturbative series for the \beta-function and critical exponents are resummed by the Pade-Borel-Leroy…

High Energy Physics - Theory · Physics 2007-05-23 E. V. Orlov , A. I. Sokolov

I present a general method for determining the massive cusp anomalous dimension in QCD to a very high degree of accuracy using its asymptotic behavior at small and large quark velocities. I show that the method works exceedingly well at two…

High Energy Physics - Phenomenology · Physics 2023-03-15 Nikolaos Kidonakis

We compute the four loop term of the mass anomalous dimension in the two dimensional Gross-Neveu model in the MSbar scheme. The absence of multiplicative renormalizability which results when using dimensional regularization means that the…

High Energy Physics - Theory · Physics 2008-11-26 J. A. Gracey

We compute the planar finite size corrections to the spectrum of the dilatation operator acting on two-impurity states of a certain limit of conformal $\mathcal{N}=2$ quiver gauge field theory which is a $Z_M$-orbifold of $\mathcal{N}=4$…

High Energy Physics - Theory · Physics 2009-11-11 Davide Astolfi , Valentina Forini , Gianluca Grignani , Gordon W. Semenoff

In this paper we give all the details of the calculation that we presented in our previous paper arXiv:0712.3522, concerning the four-loop anomalous dimension of the Konishi descendant tr(\phi Z\phi Z-\phi \phi Z Z) in the SU(2) sector of…

High Energy Physics - Theory · Physics 2008-11-26 F. Fiamberti , A. Santambrogio , C. Sieg , D. Zanon

We report first results of an ongoing project devoted to the analytical calculation of the QCD $\beta$-function and the quark mass anomalous dimension at the five loop level.

High Energy Physics - Phenomenology · Physics 2014-02-27 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N=4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional…

High Energy Physics - Theory · Physics 2009-02-02 Z. Bajnok , J. Balog , B. Basso , G. P. Korchemsky , L. Palla

In this work, we derive a novel set of equations - the Asymptotic Baxter--Bethe Ansatz - that determine the asymptotic spectrum of Regge trajectories in the BFKL regime of N=4 SYM. In this challenging limit, our method yields multi-loop…

High Energy Physics - Theory · Physics 2025-07-23 Simon Ekhammar , Nikolay Gromov , Michelangelo Preti

We explore maximal unitarity for nonplanar two-loop integrals with up to four massive external legs. In this framework, the amplitude is reduced to a basis of master integrals whose coefficients are extracted from maximal cuts. The…

High Energy Physics - Theory · Physics 2016-12-30 Mads Sogaard , Yang Zhang