B_s^0-\bar{B}_s^0 mixing and B -> πK decays in stringy leptophobic Z^\prime

Abstract

We consider a leptophobic Z^\prime scenario in a flipped SU(5) grand unified theory obtained from heterotic string theory. We show that the allowed Z^\prime mass, flavor conserving and flavor changing couplings of the Z^\prime to the down-type quarks are strongly constrained by the mass difference in B_s-\bar{B}_s system and the four branching ratios of B -> πK decays. It is shown that even under these constraints large deviations in direct and/or indirect CP asymmetries of B \to πK decays from the SM expectations are allowed. Especially it is possible to accommodate the apparent puzzling data in B -> πK CP asymmetries.

16 pages, 16 figures, LateX

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• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• Ansatz for small FCNC with a non-universal $Z^{\prime }$
• Flavor changing Z' couplings at the LHC
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• The B ---> π K puzzle and the Bulk Randall-Sundurm model
• Leptophobic dark photon interpretation of the ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ puzzle