Explaining the $b \to s \ell^+ \ell^-$ anomalies in $Z^\prime$ scenarios with top-FCNC couplings

TL;DR

This paper proposes a minimal $Z'$ model with top-charm flavor-changing couplings to explain $b o s \, \ell^+ \ell^-$ anomalies, predicting observable effects in top decays and collider experiments, and explores extended scenarios with gauge interactions.

Contribution

It introduces a minimal $Z'$ scenario with specific flavor-changing couplings that can account for anomalies and satisfy constraints, also analyzing extended gauge interactions.

Findings

The $Z'$ can be as light as a few hundred GeV.

Correlations among rare meson processes are governed by a single parameter.

Probes include $t \to c \mu^+ \mu^-$ decay and $tZ'$ production at the LHC.

Abstract

Motivated by the recent anomalies in $b \to s \ell^+ \ell^-$ transitions, we explore a minimal $Z^\prime$ scenario, in which the $Z^\prime$ boson has a flavour-changing coupling to charm and top quarks and a flavour-conserving coupling to muons. It is found that such a $Z^\prime$ boson can explain the current $b \to s \ell^+ \ell^-$ anomalies, while satisfying other flavour and collider constraints simultaneously. The $Z^\prime$ boson can be as light as few hundreds GeV. In this case, the $t \to c \mu^+ \mu^-$ decay and the $tZ^\prime$ associated production at the LHC could provide sensitive probes of such a $Z^\prime$ boson. As a special feature, the $Z^\prime$ contributions to all rare $B$- and $K$-meson processes are controlled by one parameter. This results in interesting correlations among these processes, which could provide further insights into this scenario. In addition, an extended scenario, in which the $Z^\prime$ boson interacts with the $SU(2)_L$ fermion doublets with analogous couplings as in the minimal scenario, is also investigated.