Model Independent Analysis of the Forward-Backward Asymmetry for the $B\to K_{1}\mu^{+}\mu^{-}$ Decay

TL;DR

This paper investigates how the zero position of the forward-backward asymmetry in the decay B→K1μ+μ− is affected by potential new physics interactions, providing insights into physics beyond the Standard Model.

Contribution

It analyzes the sensitivity of the forward-backward asymmetry zero to non-standard four-fermion interactions, highlighting the impact of vector, scalar-pseudoscalar, and tensor operators.

Findings

Zero position is highly sensitive to vector-type Wilson coefficients.

Interference effects from scalar-pseudoscalar and tensor operators are significant.

Results can help identify new physics beyond the Standard Model.

Abstract

The sensitivity of the zero position of the forward backward asymmetry $\mathcal{A}_{FB}$ for the exclusive $B\rightarrow K_{1}(1270)\mu^{+}\mu^{-}$ decay is examined by using most general non-standard 4-fermion interactions. Our analysis shows that the zero position of the forward backward asymmetry is very sensitive to the sign and size of the Wilson coefficients corresponding to the new vector type interactions, which are the counter partners of the usual Standard Model operators but have opposite chirality. In addition to these, the other significant effect comes from the interference of Scalar-Pseudoscalar and Tensor type operators. These results will not only enhance our theoretical understanding about the axial vector mesons but will also serve as a good tool to look for physics beyond the SM.