Z-mediated charge and CP asymmetries and FCNCs in $B_{d,s}$ processes

TL;DR

This paper investigates the potential for new physics to explain charge and CP asymmetries in B meson processes, showing that Z-mediated FCNCs in vector-like quark models can significantly enhance these asymmetries beyond Standard Model predictions.

Contribution

It provides a model-independent upper bound on like-sign charge asymmetry and demonstrates how vector-like quarks with Z-mediated FCNCs can enhance CP asymmetries and rare decay rates.

Findings

The like-sign charge asymmetry can be doubled in magnitude.

CP asymmetry in $B_s o J/\Psi \phi$ can reach -15%.

Branching ratio for $B_s o \mu^+ \mu^-$ can be as high as $0.6 imes 10^{-8}$.

Abstract

We show model-independently that the negative like-sign charge asymmetry $(-A^b_{s\ell})$ is less than $ 3.16\times 10^{-3}$ when the constraints from the $B_q-\bar B_q$ mixings and the time-dependent CP asymmetries (CPAs) for $B_q\to J/\Psi M_q$ with $M_q=K,\phi$ and $q=d,s$ are taken into account. Although the result is smaller than the measured value by the D{\O} Collaboration at Fermilab, there is still plenty of room to have new physics, which is sensitive to new CP violating effects, as the standard model (SM) prediction is $(2.3_{-0.5}^{+0.6})\times 10^{-4}$. To illustrate the potential large $|A^{b}_{s\ell}|$, we show the influence of new $SU(2)_L$ singlet exotic quarks in the vector-like quark model, where the $Z$-mediated flavor changing neutral currents (FCNCs) are generated at tree level. In particular, we demonstrate that (a) the like-sign charge asymmetry could be enhanced by a factor of two in magnitude; (b) the CPA of $\sin2\beta^{J/\Psi \phi}_s$ could reach to $-15%$; (c) the CPA of $\sin2\beta_{\phi K_S}$ could be higher than $\sin2\beta_{J/\Psi K_S}$ when $|A^b_{s\ell}|$ is larger than the SM prediction; and (d) the branching ratio for $B_s\to \mu^+ \mu^-$ could be as large as $0.6\times 10^{-8}$.