Flavor Violations in $B$-Mesons within Non-Minimal SU(5)

TL;DR

This paper investigates anomalies in B-meson decays suggesting lepton flavor universality violation within a non-minimal SU(5) GUT framework, proposing exotic scalar particles like leptoquarks and diquarks to explain these phenomena.

Contribution

It introduces a non-minimal SU(5) model with a 45-dimensional Higgs that predicts exotic scalars, providing a unified explanation for multiple B-meson decay anomalies.

Findings

Leptoquark $R_2$ explains charged current anomalies.

Diquark $S_6$ contributes to nonleptonic processes.

Loop-level exchanges address $B o K u{ar u}$ puzzles.

Abstract

Recent anomalies in $B$-meson decays, such as deviations in $R_{D^{(*)}}$ and $B\to K\nu{\bar\nu}$, suggest possible lepton flavor universality violation and new exotic interactions. In this work, we explore these anomalies within a non-minimal SU(5) grand unified theory (GUT) framework, which introduces a 45-dimensional Higgs representation predicting exotic scalar particles, including the leptoquark $R_2$ and diquark $S_6$. The $R_2$ leptoquark addresses charged current anomalies in $b\to c\tau\nu$ transitions, the $S_6$ diquark contributes to nonleptonic neutral current processes, such as $B\to K\pi$, while at the loop level, the exchange of a leptoquark and diquark contributes to $B\to K\nu{\bar\nu}$ offering solutions to longstanding puzzles.