Two-loop anomalous dimension matrix for ΔS = 1 weak non-leptonic decays. (II) O(ααs)
TLDR
In this paper, a two-loop 10 × 10 anomalous dimension matrix O(� 2 ) involving current-current operators, QCD penguin operators, and electroweak penguin opera-tors was calculated for S = 1 weak non-leptonic decays, but also for B = 1 decays.About:
This article is published in Nuclear Physics.The article was published on 1993-07-12 and is currently open access. It has received 193 citations till now. The article focuses on the topics: Electroweak interaction & Matrix (mathematics).read more
Citations
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Weak decays beyond leading logarithms
TL;DR: In this paper, the authors review the present status of QCD corrections to weak decays beyond the leading-logarithmic approximation, including particle-antiparticle mixing and rare and $\mathrm{CP}$-violating decays.
Journal ArticleDOI
Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology
TL;DR: In this paper, the renormalization of the dimension-six operators of the SM EFT has been studied for the first time, and the results give the entire 2499 × 2499 anomalous dimension matrix.
Journal ArticleDOI
A general method for non-perturbative renormalization of lattice operators
Guido Martinelli,Guido Martinelli,C. Pittori,Christopher T. Sachrajda,Massimo Testa,Anastassios Vladikas +5 more
TL;DR: In this paper, a non-perturbative method for computing the renormalization constants of generic composite operators is proposed, which is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from the matrix elements of lattice operators.
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Charm quark contribution to K+ ---> pi+ nu anti-nu at next-to-next-to-leading order
Andrzej J. Buras,Martin Gorbahn,Martin Gorbahn,Ulrich Haisch,Ulrich Haisch,Ulrich Nierste,Ulrich Nierste +6 more
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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Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
TL;DR: In this article, the dimension-six operators of the SM EFT were renormalized and the renormalization group improved results can be used to study the flavor problem and to test the minimal flavor violation (MFV) hypothesis.
References
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Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
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.
Book
Mathematica: A System for Doing Mathematics by Computer
TL;DR: This book will be released simultaneously with Release 2.0 of Mathematica and will cover all the new features of Release 1.0 as mentioned in this paper, including 16 pages of full-color graphics.
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The Background Field Method Beyond One Loop
TL;DR: In this paper, the background field approach to multi-loop calculations in gauge field theories is presented and a relation between the gauge-invariant effective action computed using this method and the effective action of the conventional functional approach is derived.
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TRACER version 1.1: A mathematica package for γ-algebra in arbitrary dimensions
TL;DR: TRACER as discussed by the authors is a general-purpose computer algebra system for solving the γ5 problem mathematically consistently in arbitrary dimensions using the T Hooft-Veltman scheme.
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Dimensional Renormalization and the Action Principle
TL;DR: In this paper, the renormalization of the action principle is defined in such a way that renormalized action principle holds, and the derivation of Ward-Takahashi indentities and Callan-Symanzik equations is exemplified.