New physics search via CP observables in $B_s^0 \rightarrow \phi \phi$ decay with Chromomagnetic operators

TL;DR

This paper proposes a novel experimental approach to search for new physics via CP-violating observables in $B_s^0 ightarrow \phi \\phi$ decay, utilizing a model with chromomagnetic operators and analyzing sensitivity with pseudo datasets.

Contribution

It introduces a new scheme for experimental search based on the hierarchy of helicity amplitudes in a model with chromomagnetic operators, differing from previous LHCb analyses.

Findings

Sensitivity of CP-violating observables estimated at 5-7% with current LHCb data.

Revised coefficients table for time-dependent angular decay distribution provided.

Demonstrates the potential of the new scheme for future experimental searches.

Abstract

In this work, 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. In addition, we present a revised version of the table of coefficients of time-dependent terms in the angular decay distribution with precisely defined quantities.