Rank-One Flavor Violation and B-meson anomalies

Abstract

We assume that the quark-flavor coefficients matrix of the semileptonic operators addressing the neutral-current B-meson anomalies has rank-one, i.e. it can be described by a single vector in quark-flavor space. By correlating the observed anomalies to other flavor and high-$p_T$ observables, we constrain its possible directions and we show that a large region of the parameter space of this framework will be explored by flavor data from the NA62, KOTO, LHCb and Belle II experiments.

Comments: 30 pages, 8 figures, 8 tables. v2: additional bounds included, references added. v3: updated with latest results on $K_S\to {\mu }^{+}{\mu }^{-}$ from LHCb and $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ from NA62