LHCb anomalies from a natural perspective

TL;DR

This paper demonstrates that anomalies in $b ightarrow s$ processes can be explained within Natural Scherk-Schwarz theories, linking flavor physics anomalies to solutions of the hierarchy problem without introducing new particles.

Contribution

It shows that $b ightarrow s$ anomalies are naturally explained by Natural Scherk-Schwarz models, with minimal assumptions and specific predictions for future $B$ decay measurements.

Findings

Anomalies can be accommodated without new states.

Mild assumptions on flavor couplings are sufficient.

Predictions for $B$ decays to $ au^+ au^-$ are made.

Abstract

Tension between the Standard Model (SM) and data concerning $b \rightarrow s$ processes has become apparent. Most notoriously, concerning the $R_K$ ratio, which probes lepton non-universality in $b$ decays, and measurements involving the decays $B \rightarrow K^* \mu^+ \mu^-$ and $B_s \rightarrow \phi \mu^+ \mu^-$. Careful analysis of a wide range of $b \rightarrow s$ data shows that certain kinds of new physics can significantly ameliorate agreement with experiment. Here, we show that these $b \rightarrow s$ anomalies can be naturally accommodated in the context of Natural Scherk-Schwarz Theories of the Weak Scale -- a class of models designed to address the hierarchy problem. No extra states need to be introduced in order to accommodate these anomalies, and the assumptions required regarding flavor violating couplings are very mild. Moreover, the structure of the theory makes sharp predictions regarding $B$ meson decays into final states including $\tau^+ \tau^-$ pairs, which will provide a future test of these models.