New physics in $B\to K^{\ast }{\tau }^{+}{\tau }^{-}$: A model independent analysis

Abstract

In this work we consider the implications of current $b\to s{\ell }^{+}{\ell }^{-}$ ($\ell =e,\mu$) measurements on several $B\to K^{\ast }{\tau }^{+}{\tau }^{-}$ observables under the assumption that the possible new physics can have both universal as well as nonuniversal couplings to leptons. For new physics solutions which provide a good fit to all $b\to s{\ell }^{+}{\ell }^{-}$ data, we intend to identify observables with large deviations from the Standard Model (SM) predictions as well as to discriminate between various new physics solutions. For this we consider the $B\to K^{\ast }{\tau }^{+}{\tau }^{-}$ branching fraction, the $K^{\ast }$ longitudinal fraction $f_L$, the tau forward-backward asymmetry $A_{FB}$ and the optimized observables in the $P_i^{{(}^{\prime })}$ basis. Further, we construct the $\tau -\mu$ lepton-flavor differences ($Q^{\tau \mu }$) between these tau observables and their muonic counterparts in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay. Moreover, we also consider lepton-flavor ratios ($R^{\tau \mu }$) of all of these observables. We find that the current data allows for deviations ranging from 25% up to an order of magnitude from the SM value in a number of observables. For e.g., the magnitudes of $Q_{P_3}^{\tau \mu }$ and $Q_{P_8^{\prime }}^{\tau \mu }$ observables can be enhanced up to an order of magnitude, a twofold enhancement in $Q_{A_{FB}}^{\tau \mu }$ is possible along with $\sim$50% enhancement in $R_{K^{\ast }}^{\tau \mu }$ and $\sim$25% in $R_{A_{FB}}^{\tau \mu }$. Moreover, the branching ratio of $B\to K^{\ast }{\tau }^{+}{\tau }^{-}$ can be suppressed up to 25%. A precise measurement of these observables can also discriminate between a number of new physics solutions.

14 pages, 6 figures; Published version

References in corpus (7)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• On the impact of power corrections in the prediction of B->K*mu+mu- observables
• New observables in the decay mode anti-B --> anti-K*0 l+ l-
• Disentangling Lepton Flavour Universal and Lepton Flavour Universality Violating Effects in $b\to s{\ell }^{+}{\ell }^{-}$ Transitions
• QED in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ LFU ratios: Theory versus Experiment, a Monte Carlo Study
• New physics in $b\to s{e}^{+}{e}^{-}$?
• A global analysis of $b\to s\ell \ell$ data in heavy and light $Z^{\prime }$ models

Cited by in corpus (9)

• $CP$ violation in $b\to s\ell \ell$: a model independent analysis
• Charm rescattering in $B^0\to K^0\bar{\ell }\ell$: an improved analysis
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Test of lepton flavour universality with $B_s^0\to \varphi {\ell }^{+}{\ell }^{-}$ decays
• Finding flavons at colliders
• ${\tau }_{B_s}/{\tau }_{B_d}$ and $\Delta {\Gamma }_s$ confront new physics in $b\to s\tau \tau$
• Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables
• Lepton Flavor Violating $B\to K_2^{\ast }(1430){\mu }^{\pm }{\tau }^{\mp }$ Decays
• Polarized and un-polarized ${\mathcal{R}}_{K^{\ast }}$ in and beyond the SM