# On the Importance of Electroweak Corrections for B Anomalies

## TL;DR

This paper highlights the critical role of electroweak corrections in interpreting B decay anomalies, showing that these effects significantly impact model predictions and challenge explanations based solely on new physics at the TeV scale.

## Contribution

It emphasizes the necessity of including electroweak corrections in models explaining B anomalies, detailing the running and matching procedures for accurate low-energy predictions.

## Key findings

- Electroweak corrections modify leptonic couplings of W and Z bosons.
- These corrections generate a leptonic effective Lagrangian affecting B anomaly interpretations.
- Experimental bounds on Z-pole observables constrain new physics explanations.

## Abstract

The growing experimental indication of Lepton Flavour Universality Violation (LFUV) both in charged- and neutral-current semileptonic B-decays, has triggered many theoretical interpretations of such non-standard phenomena. Focusing on popular scenarios where the explanation of these anomalies requires New Physics at the TeV scale, we emphasise the importance of including electroweak corrections to obtain trustable predictions for the models in question. We find that the most important quantum effects are the modifications of the leptonic couplings of the W and Z vector bosons and the generation of a purely leptonic effective Lagrangian. As a result, the tight experimental bounds on Z-pole observables and tau decays challenge an explanation of the current non-standard data. We illustrate how these effects arise, by providing a detailed discussion of the running and matching procedure which is necessary to derive the low-energy effective Lagrangian.