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We construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar N=4 super Yang-Mills theory and use it to determine the strong…

高能物理 - 理论 · 物理学 2011-01-28 B. Basso , G. P. Korchemsky , J. Kotanski

We use the on-shell S-matrix and form factors to compute anomalous dimensions of higher dimension operators in the Standard Model Effective Field Theory. We find that in many instances, these computations are made simple by using the…

高能物理 - 唯象学 · 物理学 2020-12-21 Joan Elias Miró , James Ingoldby , Marc Riembau

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 have computed the fourth-order nf^2 contributions to all three non-singlet quark-quark splitting functions and their four nf^3 flavour-singlet counterparts for the evolution of the parton distributions of hadrons in perturbative QCD with…

高能物理 - 唯象学 · 物理学 2017-02-01 J. Davies , A. Vogt , B. Ruijl , T. Ueda , J. A. M. Vermaseren

We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield…

高能物理 - 理论 · 物理学 2009-12-10 V. N. Velizhanin

We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark…

高能物理 - 唯象学 · 物理学 2017-04-05 Thomas Luthe , Andreas Maier , Peter Marquard , York Schroder

The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function $F_2(x,Q^2)$ and the corresponding transition matrix element $A_{Qq}^{(3), \sf PS}$ in the variable flavor number…

高能物理 - 唯象学 · 物理学 2015-06-22 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider

We compute the effective hamiltonian for non-leptonic |Delta F| = 1 decays in the standard model including next-to-next-to-leading order QCD corrections. In particular, we present the complete three-loop anomalous dimension matrix…

高能物理 - 唯象学 · 物理学 2009-09-10 Martin Gorbahn , Ulrich Haisch

We present the planar four-loop anomalous dimension of the composite operator tr(phi[Z,phi]Z) in the flavour SU(2) sector of the N=4 SYM theory. At this loop order wrapping interactions are present: they give rise to contributions…

高能物理 - 理论 · 物理学 2008-11-26 F. Fiamberti , A. Santambrogio , C. Sieg , D. Zanon

The anomalous dimension of spin-1/2 baryon operators in QCD is derived at leading 1/Nf order using the minimal subtraction scheme. A residual ambiguity, originating from the presence of evanescent operators in dimensional regularization, is…

高能物理 - 唯象学 · 物理学 2018-06-27 Luca Vecchi

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

We report on the calculation of the three-loop polarized and unpolarized flavor non-singlet and the polarized singlet anomalous dimensions using massless off-shell operator matrix elements in a gauge-variant framework. We also reconsider…

高能物理 - 唯象学 · 物理学 2022-07-19 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We discuss an AdS / QCD model that consider anomalous dimensions. The effect of this kind of dimensions is considered as a mass term that depend on holographical coordenate for duals modes in bulk.

高能物理 - 唯象学 · 物理学 2011-03-10 Alfredo Vega , Ivan Schmidt

We calculate the anomalous dimension of the cusped Wilson loop in ${\cal N}=4$ supersymmetric Yang-Mills theory to order $\lambda^2$ ($\lambda=g^2_{YM}N$). We show that the cancellation between the diagrams with the three-point vertex and…

高能物理 - 理论 · 物理学 2008-11-26 Yuri Makeenko , Poul Olesen , Gordon W. Semenoff

We compute anomalous dimensions of quartic operators which are singlets under the $\mathrm{U}(N_f)$ global symmetry in Yang-Mills theories with Chern-Simons level $k$ in three dimensions coupled to $N_f$ Dirac fermions. In order to have…

高能物理 - 理论 · 物理学 2022-12-09 Guillermo Arias-Tamargo , Sergio Benvenuti , Diego Rodriguez-Gomez

The space of local operators in three-dimensional quantum electrodynamics contains monopole operators that create $n$ units of gauge flux emanating from the insertion point. This paper uses the state-operator correspondence to calculate the…

高能物理 - 理论 · 物理学 2014-03-19 Silviu S. Pufu

We compute the general form of the six-loop anomalous dimension of twist-two operators with arbitrary spin in planar N=4 SYM theory. First we find the contribution from the asymptotic Bethe ansatz. Then we reconstruct the wrapping terms…

高能物理 - 理论 · 物理学 2015-06-09 Christian Marboe , Vitaly Velizhanin , Dmytro Volin

We derive the complete set of two-loop anomalous dimensions describing the mixing of four-fermion operators in the Low Energy Effective Field Theory (LEFT). The calculation is performed in Naive Dimensional Regularization with anticommuting…

高能物理 - 唯象学 · 物理学 2026-05-08 Jason Aebischer , Pol Morell , Marko Pesut , Javier Virto

The anomalous dimensions of the gluon and ghost fields as well as the ghost-ghost-gluon and quark-quark-gluon vertexes are analytically computed in pQCD. Taken together with already available anomalous dimensions of the coupling constant,…

高能物理 - 唯象学 · 物理学 2010-04-05 K. G. Chetyrkin

Dimensional Reduction is applied to \qcd{} in order to compute various renormalization constants in the \drbar{} scheme at higher orders in perturbation theory. In particular, the $\beta$ function and the anomalous dimension of the quark…

高能物理 - 唯象学 · 物理学 2009-11-11 R. Harlander , P. Kant , L. Mihaila , M. Steinhauser