Flavor Physics in the Randall-Sundrum Model: II. Tree-Level Weak-Interaction Processes

TL;DR

This paper provides a detailed analysis of tree-level weak processes in the Randall-Sundrum model, exploring new physics effects in meson mixing and rare decays with exact field profiles and KK tower exchanges.

Contribution

It offers a comprehensive calculation of weak interactions in the RS model, including all KK excitations, and examines their impact on flavor-changing processes and rare decays.

Findings

Predictions for =2 observables are model-independent.

=1 processes are highly sensitive to model specifics.

Right-handed top quark localization affects rare Z^0 decays.

Abstract

A comprehensive analysis of tree-level weak interaction processes at low energy is presented for the Randall-Sundrum (RS) model with SU(2)_L * U(1)_Y bulk gauge symmetry and brane-localized Higgs sector. The complete form of the effective weak Hamiltonian is obtained, which results from tree-level exchange of Kaluza-Klein (KK) gluons and photons, the W^+- and Z^0 bosons and their KK excitations, as well as the Higgs boson. Exact expressions are used for the bulk profiles of the various fields, and for the exchange of entire towers of KK gauge-boson states. A detailed phenomenological analysis is performed for potential new-physics effects in neutral-meson mixing and in rare decays of kaons and B mesons, including both inclusive and exclusive processes. We find that while the predictions for \Delta(F)=2 observables are rather model-independent, \Delta(F)=1 processes depend sensitively on the exact realizations of the electroweak gauge and the fermionic sector. In this context, we emphasize that the localization of the right-handed top quark in the extra dimension plays a crucial role in the case of rare Z^0-mediated decays, as it determines the relative size of left- to right-handed couplings. We also extend earlier studies of quark flavor-changing neutral currents by examining observables which up to now attracted little attention. These include D-D(bar) mixing, B-->\tau\nu, B-->X_s (K^*) l^+ l^-, \epsilon_K'/\epsilon_K, B-->\pi K, B^0-->\phi K_S, B^0-->\eta' K_S, and B^+-->\pi^+\pi^0.