Higgs self-coupling beta-function in the Standard Model at three loops

DOI10.1016/j.nuclphysb.2013.07.015zbMath1331.81357arXiv1303.4364OpenAlexW2139392477MaRDI QIDQ5964106

A. V. Bednyakov, V. N. Velizhanin, Andrey F. Pikelner

Publication date: 26 February 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4364

Mathematics Subject Classification ID

Unified quantum theories (81V22) Gamma, beta and polygamma functions (33B15) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)

Related Items (11)

Three-loop effective potential of general scalar theory via differential equations ⋮ General scalar renormalisation group equations at three-loop order ⋮ On the electroweak contribution to the matching of the strong coupling constant in the SM ⋮ FMFT: fully massive four-loop tadpoles ⋮ \texttt{RGE++}: a \texttt{C++} library to solve renormalisation group equations in quantum field theory ⋮ Three-loop Higgs self-coupling beta-function in the Standard Model with complex Yukawa matrices ⋮ The hierarchy problem and the cosmological constant problem revisited ⋮ Two-loop electroweak threshold corrections in the Standard Model ⋮ Towards general scalar-Yukawa renormalisation group equations at three-loop order ⋮ Two-loop electroweak threshold corrections to the bottom and top Yukawa couplings ⋮ Three-loop SM beta-functions for matrix Yukawa couplings

Uses Software

• DIANA
• FeynArts
• FORM

Cites Work

• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the standard model at three loops
• Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD
• The four-loop QCD \(\beta\)-function and anomalous dimensions
• Beta functions and anomalous dimensions up to three loops
• A Feynman diagram analyzer DIANA.
• Automatic Feynman graph generation
• Yukawa coupling beta-functions in the standard model at three loops
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
• Generating Feynman diagrams and amplitudes with FeynArts 3

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