Dimension 7 operators in the b to s transition

Abstract

We extend the low-energy effective field theory relevant for b to s transitions up to operators of mass-dimension 7 and compute the associated anomalous-dimension matrix. We then compare our findings to the known results for dimension 6 operators and derive a solution for the renormalization group equations involving operators of dimension 7. We finally apply our analysis to a particularly simple case where the Standard Model is extended by an electroweak-magnetic operator and consider limits on this scenario from the decays Bs to mu+ mu- and B to K nu nubar.

33 pages, 12 figures

References in corpus (5)

• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• First evidence for the decay Bs -> mu+ mu-
• Probing New Physics with the B_s to μ+ μ- Time-Dependent Rate
• Search for the Rare Decay B->K nu nubar
• Precision flavour physics with $B\to K\nu \bar{\nu }$ and $B\to K{l}^{+}{l}^{-}$

Cited by in corpus (7)

• Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators
• Dimension Seven Operators in Standard Model with Right handed Neutrinos
• Resonances gone topsy turvy - the charm of QCD or new physics in $b\to s{\ell }^{+}{\ell }^{-}$?
• Decays of a bino-like particle in the low-mass regime
• An Analysis of B-L=-2 Operators from Matter-Higgs Interactions in a Class of Supersymmetric SO(10) Models
• Sensitivity to light weakly-coupled new physics at the precision frontier
• Extending low energy effective field theory with a complete set of dimension-7 operators