Addressing Hadronic Uncertainties in Extractions of $\phi_s$

TL;DR

This paper reviews progress in reducing hadronic uncertainties in measuring the $B_s$ mixing phase $\,phi_s$, emphasizing the importance of understanding scalar mesons like $f_0(980)$ to accurately interpret potential signs of New Physics.

Contribution

It provides an overview of recent methods to address hadronic uncertainties in $\,phi_s$ extraction and discusses the nature of the $f_0(980)$ scalar meson.

Findings

Progress in constraining hadronic effects in $\,phi_s$ measurements.

Insights into the structure of the $f_0(980)$ meson.

Implications for distinguishing New Physics from hadronic effects.

Abstract

In light of recent LHC results for the extraction of the $B_s$ mixing phase $\phi_s$, we can already conclude that if New Physics (NP) is present in this observable, it is hiding pretty well. Thus, as our hunt continues, we must be weary not to confuse NP for penguin effects, or vice versa. In this talk the progress made towards addressing hadronic uncertainties in extractions of $\phi_s$ from $B_s\to J/\psi \phi$ is reviewed, and the nature of the scalar $f_0(980)$ state, which plays a dominant role in the extraction of $\phi_s$ from the $B_s\to J/\psi \pi^+\pi^-$ decay, is discussed.