Local $SU(2) \times U(1)$ Quark Flavor Symmetry in the RS Bulk

TL;DR

This paper introduces a warped extra-dimensional model with an additional $SU(2) imes U(1)$ flavor symmetry, breaking it via bulk scalars, and analyzes its implications for quark masses, mixings, and flavor-changing processes.

Contribution

It presents a novel bulk symmetry breaking mechanism using scalars and provides exact bulk particle profiles, with detailed analysis of flavor constraints and suppression of Kaon mixing contributions.

Findings

Bulk scalars can suppress Kaon mixing contributions.

New flavor gauge bosons can compete with gluon currents.

Scalar-induced flavor-changing operators are highly suppressed.

Abstract

We propose a model of quark flavor based on an additional $SU(2)\times U(1)$ local symmetry in a warped extra dimensional bulk. In contrast to other works, we break the additional gauge symmetry in the bulk via two complex scalars which acquire bulk vevs, rather than relying on brane-localized symmetry breaking. A gauge-covariant Kaluza-Klein decomposition of a theory with a bulk spontaneously broken gauge symmetry is performed, and exact expressions for the bulk profiles of all physical particles in such systems are given. The SM quark masses and mixings are then recreated using gauge-covariant bulk quark mass terms and Yukawa-like couplings to the new bulk scalars. A numerical sampling of points in the model parameter space that recreate the quark masses and mixings is performed at a KK scale of $M_{KK} =5$ TeV. We then compute the $\Delta F = 2$ 4-quark operators arising from our new flavor gauge bosons and scalars, and those arising from Kaluza-Klein modes of SM gauge bosons. By decoupling one of our bulk scalar fields to all quark fields except the right-handed up-like sector, we find that it is possible to greatly suppress tree-level contributions to the highly constrained Kaon mixing parameters. Instead, the dominant constraints on the model emerge from neutral $B_d$ and $D$ meson mixing. These constraints are explored with our numerical sampling of the model parameter space, and the specific contribution of the new flavor gauge bosons and scalars is discussed. We find that for a significant range of realistic flavor gauge couplings, the new gauge bosons compete with the normally dominant gluon flavor-changing currents, but flavor-changing operators emerging from the bulk scalar fields are highly suppressed. Finally, we briefly comment on flavor constraints that are independent of the flavor gauge sector arising from the $Z \bar{b}_L b_L$ coupling and rare top decays.