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The renormalization of the axial anomaly in dimensional regularization

S. A. Larin
TLDR
In this article, the prescription for the γ5 matrix within dimensional regularization in multiloop calculations is elaborated and the three-loop anomalous dimension of the singlet axial current is calculated.
Abstract: 
The prescription for the γ5 matrix within dimensional regularization in multiloop calculations is elaborated. The three-loop anomalous dimension of the singlet axial current is calculated.

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Citations
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The QCD axion, precisely

Giovanni Grilli di Cortona, +4 more
- 07 Jan 2016 - 
TL;DR: In this paper, the axion potential, its mass and its coupling to photons were reconstructed with percent precision using first-principle QCD computations with uncertainties smaller than ten percent.
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Charm quark contribution to K+ ---> pi+ nu anti-nu at next-to-next-to-leading order

Andrzej J. Buras, +6 more
- 01 Mar 2006 - 
TL;DR: In this article, the authors presented the results for the two-loop matching conditions of the Wilson coefficients, the three-loop anomalous dimensions, and the twoloop matrix elements of the relevant operators entering the NNLO renormalization group analysis of the Z-penguin and the electroweak box contribution.
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NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions

V. Ravindran, +2 more
- 17 Feb 2003 - 
TL;DR: In this article, the authors present the NLO corrections to the total cross section for Higgs boson production using an alternative method than those used in previous calculations, which is carried out in the effective Lagrangian approach which emerges from the standard model by taking the limit $m_t \to \infty$ where m_t denotes the mass of the top quark.
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B d , s → ρ , ω , K * , ϕ decay form factors from light-cone sum rules reexamined

Patricia Ball, +1 more
- 26 Jan 2005 - 
TL;DR: In this article, the authors presented an improved calculation of light vector form factors from light-cone sum rules, including one-loop radiative corrections to twist-2 and twist-3 contributions, and leading order twist-4 corrections.
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Higgs boson production in bottom quark fusion at next-to-next-to-leading order

Robert V. Harlander, +1 more
- 01 Jul 2003 - 
TL;DR: In this article, the total cross section for Higgs boson production in bottom-quark annihilation is evaluated at next-to-next-to leading order in QCD, and a greatly reduced scale dependence with respect to lower order results, for both the factorization and the renormalization scales.
References
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Regularization and Renormalization of Gauge Fields

Gerard 't Hooft, +1 more
- 01 Jul 1972 - 
TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
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Axial vector vertex in spinor electrodynamics

Stephen L. Adler
- 25 Jan 1969 - 
TL;DR: In this article, the axial-vector vertex in spinor electrodynamics has anomalous properties which differ with those found by the formal manipulation of field equations, and the divergence of axial vector current is not the usual expression calculated from the field equations.
Journal ArticleDOI

Dimensional regularization and the renormalization group

Gerard 't Hooft
- 24 Sep 1973 - 
TL;DR: In this article, the behavior of a renormalized field theory under scale transformations x → λx; p → p/λ can be found in a simple way when the theory is regularized by the continuous dimension method.
Journal ArticleDOI

Supersymmetric Dimensional Regularization via Dimensional Reduction

Warren Siegel
- 18 Jun 1979 - 
TL;DR: In this article, a modified form of dimensional regularization is introduced which manifestly preserves gauge invariance, unitarity, and global supersymmetry, and also considers its application to supergravity.
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Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories

William A. Bardeen, +3 more
- 01 Dec 1978 - 
TL;DR: In this article, the authors calculate the full order${g}^{2}$ corrections to the coefficient functions which determine the dependence of the moments of deep-inelastic structure functions.