Abstract
We investigate new-physics contributions to brightarrow s ell ell transitions in the context of an effective field theory extension of the Standard Model, including operator mixing at one loop. We identify the few scenarios where a single Wilson coefficient, C/Lambda ^2 sim 1/mathrm{TeV}^2, induces a substantial shift in the lepton flavour universality ratios R_K and R_{K^*} at one loop, while evading Z-pole precision tests, collider bounds, and other flavour constraints. Novel fits to the present data are achieved by a left-handed current operator with quark-flavour indices (2, 2) or (3, 3). Interestingly, the running of the Standard Model Yukawa matrices gives the dominant effect for these scenarios. We match the favoured effective-theory scenarios to minimal, single-mediator models, which are subject to additional stringent constraints. Notably, we recognise three viable instances of a leptoquark with one coupling to fermions only. If the anomalies were confirmed, it appears that one-loop explanations have good prospects of being directly tested at the LHC.
Highlights
For the past several years, semileptonic B-meson decays have exhibited an intriguing pattern of deviations from the Standard Model (SM) predictions
Since no clear evidence of new physics has been found in direct searches at the LHC, it is reasonable to assume that new degrees of freedom have masses well above the electroweak scale
The loop effects can be computed using the renormalisation group equations (RGEs) of operators introduced at some new physics scale, which is assumed to be larger than the electroweak scale [16,17,18]
Summary
For the past several years, semileptonic B-meson decays have exhibited an intriguing pattern of deviations from the Standard Model (SM) predictions. Since no clear evidence of new physics has been found in direct searches at the LHC, it is reasonable to assume that new degrees of freedom have masses well above the electroweak scale In this case, an effective field theory (EFT) respecting the full SM gauge symmetry, known as the SMEFT, provides the most appropriate description of data [9,10]. An effective field theory (EFT) respecting the full SM gauge symmetry, known as the SMEFT, provides the most appropriate description of data [9,10] Within this framework, the b → s and b → c ν anomalies point to very different scales of new physics [11], namely M/gNP ∼ 20 TeV and 2 TeV respectively, where gNP denotes a generic tree-level coupling between the SM fermions and new states of mass M.
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