Flavor anomalies from asymptotically safe gravity

TL;DR

This paper employs asymptotically safe quantum gravity to predict properties of scalar leptoquarks that could explain flavor anomalies, narrowing down their mass range and suggesting testable signals at future colliders.

Contribution

It introduces a gravity-based framework to derive boundary conditions for leptoquark couplings, providing novel predictions for their masses related to flavor anomalies.

Findings

Leptoquark mass for $b o s$ anomalies predicted as 4-7 TeV.

Leptoquark mass for $b o c$ anomalies near current LHC bounds.

Predicted signatures in B, D meson, and kaon decays.

Abstract

We use the framework of asymptotically safe quantum gravity to derive predictions for scalar leptoquark solutions to the $b \to s$ and $b\to c$ flavor anomalies. The presence of an interactive UV fixed point in the system of gauge and Yukawa couplings imposes a set of boundary conditions at the Planck scale, which allows one to determine low-energy values of the leptoquark Yukawa matrix elements. As a consequence, the allowed leptoquark mass range can be significantly narrowed down. We find that a consistent gravity-driven solution to the $b\to s$ anomalies predicts a leptoquark with the mass of 4-7 TeV, entirely within the reach of a future hadron-hadron collider with $\sqrt{s}=100$ TeV. Conversely, in the case of the $b\to c$ anomalies the asymptotically safe gravity framework predicts a leptoquark mass at the edge of the current LHC bounds. Complementary signatures appear in flavor observables, namely the (semi)leptonic decays of B and D mesons and kaons.