Flavor Non-universality Gauge Interactions and Anomalies in B-Meson Decays

Abstract

Motivated by flavor non-universality and anomalies in semi-leptonic B-meson decays, we present a general and systematic discussion about how to construct anomaly-free $U(1{)}^{\prime }$ gauge theories based on an extended standard model with only three right-handed neutrinos. If all standard model fermions are vector-like under this new gauge symmetry, the most general family non-universal charge assignments, $(a,b,c)$ for three-generation quarks and $(d,e,f)$ for leptons, need satisfy just one condition to be anomaly-free, $3(a+b+c)=-(d+e+f)$. Any assignment can be linear combinations of five independent anomaly-free solutions. We also illustrate how such models can generally lead to flavor-changing interactions and easily resolve the anomalies in B-meson decays. Probes with $B_s-{\bar{B}}_s$ mixing, decay into ${\tau }^{\pm }$, dilepton and dijet searches at colliders are also discussed.

18 pages, 3 figure; Published version

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