# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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# Contribution Parallel

Andalucía I
Weak Decays and Matrix Elements

# Improving the theoretical prediction for the $B_s-\bar{B}_s$ width difference: matrix elements of next-to-leading order $\Delta B = 2$ operators

## Speakers

• Dr. Matthew WINGATE

## Content

We present lattice QCD results for the matrix elements of $R_2$ and other dimension-7, $\Delta B = 2$ operators relevant for calculations of $\Delta \Gamma_s$, the $B_s-\bar{B}_s$ width difference. We have computed correlation functions using 5 ensembles of the MILC Collaboration's $2+1+1$-flavor gauge field configurations, spanning 3 lattice spacings and light sea quarks masses down to the physical point. The HISQ action is used for the valence strange quarks, and the NRQCD action is used for the bottom quarks. Once our analysis is complete, the theoretical uncertainty in the Standard Model prediction for $\Delta \Gamma_s$ will be substantially reduced.

## Preferred track (if multiple tracks have been selected)

Weak Decays and Matrix Elements