R-parity violating solutions to the $R_{D^{(\ast)}}$ anomaly and their GUT-scale unifications

TL;DR

This paper explores R-parity violating interactions within GUT frameworks to explain B-meson decay anomalies, proposing non-universal sfermion and gaugino masses to reconcile experimental data with theoretical models.

Contribution

It introduces a GUT-based approach with non-universal sfermion and gaugino masses to address R-parity violating solutions for the $R_{D^{(*)}}$ anomaly.

Findings

Large RPV couplings can explain the anomaly.

Non-universal sfermion and gaugino masses help realize Yukawa unification.

The proposed model aligns with experimental constraints.

Abstract

Recently, several $B$-physics experiments report interesting anomalies in the semi-leptonic decays of $B$-mesons, such as the excess in the $R_{D^{(\ast)}}$ measurements. These anomalies seem to suggest intriguing hints of lepton flavor non-universality, and the R-parity violating (RPV) interactions are candidates for explaining this non-universality. In this paper, we discuss the RPV interactions for resolving the $R_{D^{(\ast)}}$ anomaly with the Grand Unified Theory (GUT) assumption. To solve the $R_{D^{(\ast)}}$ anomaly, it is known that large RPV couplings and around $1~{\rm TeV}$ sfermion masses are required. At the same time, large RPV couplings are conducive to realize the bottom-tau Yukawa unification which appears in the GUT models. On the other hand, there are problems for realizing favorable sfermion masses in the constrained minimal supersymetric standard model. To resolve these problems, we show that two non-universalities, the non-universal sfermion masses and the non-universal gaugino masses, are favorable.