Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence

Abstract

Abstract:We calculate the complete order y 2 and y 4 terms of the 59×59 one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory, where y is a generic Yukawa coupling. These terms, together with the terms of order λ, λ 2 and λy 2 depending on the Standard Model Higgs self-coupling λ which were calculated in a previous work, yield the complete one-loop anomalous dimension matrix in the limit of vanishing gauge couplings. The Yukawa contributions result in non-trivial flavor mixing in the various operator sectors of the Standard Model effective theory.

Anomalous triple gauge couplings from B-meson and kaon observables

“…First, the large logarithms in (3.5) encode the leading-logarithmic (LL) contributions associated to the RG evolution between Λ and m W . We have verified that the coefficients of these ln Λ 2 /m 2 W terms can be recovered from the anomalous dimensions given in [31]. This provides a non-trivial cross-check since the latter calculation is performed in a different operator basis [29,30].…”

“…We thank Joachim Brod for useful discussions and Veronica Sanz for encouraging us to write this article. We are grateful to Andrzej Buras for helpful exchange about the hadronic parameter R 8 that enters the prediction for / , Aneesh Manohar for explanations concerning his work [31] and David Straub for providing further details on his analysis [48]. UH thanks Michael Trott for an invitation to the workshop "HEFT2014 -Higgs Effective Field Theories".…”

The effective Standard Model after LHC Run I

“…These are related to the coefficients at the new physics scale through RGE equations [110][111][112][113][114][115][116][117].…”

Complete Higgs sector constraints on dimension-6 operators

“…Some combinations of these operators enter into EWPT and TGC, but the presence of a poorly constrained direction [98] in measurements of the latter means that constraints on dimension-6 operators from Higgs physics are complementary and not redundant within the EFT framework. Constraints from EWPT on operators that contribute at loop level rely on assuming no unnatural cancellations [99][100][101][102][103][104][105], with unambiguous bounds being far weaker [106,107]. Thus, it is desirable to refine as much as possible the analysis of the Higgs sector [108].…”