New physics search via CP observables in $B^0_s \rightarrow \phi\phi$ decays with left- and right-handed Chromomagnetic operators

TL;DR

This paper explores a novel method for detecting new physics in $B_s^0 ightarrow \phi \phi$ decays by analyzing CP-violating observables, using a model with both left- and right-handed Chromomagnetic operators, and demonstrates its sensitivity with simulated data.

Contribution

It introduces a new experimental scheme based on the hierarchy of helicity amplitudes in a model with left- and right-handed Chromomagnetic operators for $B_s^0 ightarrow \phi \\phi$ decays.

Findings

Sensitivity of CP-violating observables is about 5-7% with current LHCb data.

The new scheme differs from previous analyses used by LHCb.

Combining measurements from Belle(II) and LHCb can determine the chirality of new physics.

Abstract

In this paper, we investigate the time-dependent angular analysis of $B_s^0 \rightarrow \phi \phi$ decay to search for new physics signals via CP-violating observables. We work with a new physics Hamiltonian containing both left- and right-handed Chromomagnetic dipole operators. The hierarchy of the helicity amplitudes in this model gives us a new scheme of experimental search, which is different from the ones LHCb has used in its analysis. To illustrate this new scheme, we perform a sensitivity study using two pseudo datasets generated using LHCb's measured values. We find the sensitivity of CP-violating observables to be of the order of $5-7\%$ with the current LHCb statistics. Moreover, we show that Belle(II)'s $B^0_d \rightarrow \phi K_s$ and LHCb's $B_s^0 \rightarrow \phi \phi$ measurements could be coupled within our model to obtain the chirality of the new physics.