Charge and CP asymmetries of $B_q$ meson in unparticle physics

Abstract

Recently the DØ Collaboration reported an observation of like-sign charge asymmetry (CA), which is about $3.2\ddot{I}ƒ$ deviation from the standard model (SM) prediction. Inspired by the observation we investigate the scalar unparticle effects, under the color charge of $SU(3{)}_c$ symmetry, in the CP violation in neutral B meson oscillations as well as the dispersive and absorptive parts of ${\bar{B}}_q\leftrightarrow B_q$ transition, which can be related to the CA directly. In order to illustrate the peculiar properties of unparticle, our analysis is carried out in two scenarios for the right-handed section: (I) $\hat{I}{»}_R=\hat{I}{»}_L$ and $U_D^R=U_D^L$, where $\hat{I}{»}_{L,R}$ and $U_D^{L,R}$ are the couplings and flavor mixing matrix of left- and right-handed section, respectively; (II) $\hat{I}{»}_R>>\hat{I}{»}_L$ and $U_D^R$ is completely a free parameter. In scenario I we found that the wrong- and like-sign CA cannot be changed significantly for a SM-like CP violating source because of the strong constraint of $\hat{I}”m_{B_d}$. Contrarily, in scenario II we can figure out the parameter space in which the CA can be enhanced to the value observed by DØ with the constraint of $\hat{I}”m_{B_s}$ due to the enhancement of $\hat{I}{“}_{12}^s$. In the parameter space we obtained, the correlation between $\hat{I}”\hat{I}{“}^s$ and $\ddot{I}{•}_s$ is consistent with the current CDF and DØ results.

13 pages, 4 figures, references added, typos corrected