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

Abstract

We show model-independently that the negative like-sign charge asymmetry $(-A_{s\ell }^b)$ 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 $M_q=K,\varphi$ and $q=d,s$ are taken into account. Although the result is smaller than the measured value by the DØ 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 $|A_{s\ell }^b|$, 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 $\sin 2{\beta }_s^{J/\Psi \varphi }$ could reach to $-15$; (c) the CPA of $\sin 2{\beta }_{\varphi K_S}$ could be higher than $\sin 2{\beta }_{J/\Psi K_S}$ when $|A_{s\ell }^b|$ is larger than the SM prediction; and (d) the branching ratio for $B_s\to {\mu }^{+}{\mu }^{-}$ could be as large as $0.6\times 10^{-8}$.

arXiv comment1+19 pages, 8 figures, typos corrected and references added, version to appear in JHEP

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