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

TL;DR

This paper explores how scalar unparticle physics could explain the observed charge asymmetry in B meson oscillations, proposing scenarios where unparticles significantly enhance CP violation effects beyond the Standard Model predictions.

Contribution

It introduces two scenarios of unparticle couplings affecting B meson CP violation, demonstrating potential to match experimental charge asymmetry observations.

Findings

Scenario I shows limited impact on charge asymmetry due to constraints.

Scenario II allows significant enhancement of charge asymmetry.

The parameter space in Scenario II aligns with current experimental data.

Abstract

Recently the D{\O} Collaboration reported an observation of like-sign charge asymmetry (CA), which is about $3.2 \sigma$ 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) $\lambda_R=\lambda_L$ and $U_D^R=U_D^L$, where $\lambda_{L,R}$ and $U_D^{L,R}$ are the couplings and flavor mixing matrix of left- and right-handed section, respectively; (II) $\lambda_R >> \lambda_L$ 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 $\Delta m_{B_d}$. Contrarily, in scenario II we can figure out the parameter space in which the CA can be enhanced to the value observed by D{\O} with the constraint of $\Delta m_{B_s}$ due to the enhancement of $\Gamma^s_{12}$. In the parameter space we obtained, the correlation between $\Delta\Gamma^s$ and $\phi_s$ is consistent with the current CDF and D{\O} results.