Simultaneous explanation of $K$ and $B$ anomalies in vectorlike compositeness

TL;DR

This paper proposes a model with flavorful, chiral vector bosons around 1 TeV to simultaneously explain flavor anomalies in K and B meson systems, addressing tensions with existing constraints.

Contribution

It introduces a new physics framework with composite vector bosons that can explain multiple flavor anomalies at once, a novel approach in flavor physics.

Findings

Both anomalies can be explained within 1σ confidence levels.

Parameter space is testable by NA62, KOTO, and LHC experiments.

Addresses the challenge of heavier vector bosons conflicting with anomaly explanations.

Abstract

We address the presently reported significant flavor anomalies in the $K$ and $B$ meson systems such as the CP violating Kaon decay ($\epsilon'/\epsilon$) and lepton-flavor universality violation in $B$ meson decays ($R_{K^{(*)}},$ and also commenting ${R_{D^{(*)}}}$), by proposing flavorful and chiral vector bosons as the new physics constitution at $\sim 1\,\mathrm{TeV}$. Interestingly, if the new (composite) vector bosons are quite heavier than $\sim 1\,\mathrm{TeV}$, we face a difficulty in addressing the anomaly in $\epsilon'/\epsilon$ consistently with the constraint from the $K^0$-$\overline{K^0}$ mixing. Both of the anomalies can be addressed within $1\sigma$ confidence levels individually, where the relevant parameter space will be investigated by the NA62 and KOTO experiments, in addition to direct searches at the large hadron collider.