A lattice QCD perspective on weak decays of b and c quarks Snowmass 2022 White Paper

/ Authors

P. Boyle, B. Chakraborty, C. Davies, T. DeGrand, C. DeTar, L. Debbio, A. El-Khadra, F. Erben, J. Flynn, Elvira G'amiz

and 25 more authors

D. Giusti, S. Gottlieb, M. Hansen, J. Heitger, R. Hill, W. Jay, A. Juttner, J. Koponen, A. Kronfeld, C. Lehner, A. Lytle, G. Martinelli, S. Meinel, C. Monahan, E. Neil, A. Portelli, J. Simone, S. Simula, R. Sommer, A. Soni, J. Tsang, R. V. D. Water, A. Vaquero, Ludovico Vittorio, O. Witzel

/ Abstract

Lattice quantum chromodynamics has proven to be an indispensable method to determine nonperturbative strong contributions to weak decay processes. In this white paper for the Snowmass community planning process we highlight achievements and future avenues of research for lattice calculations of weak $b$ and $c$ quark decays, and point out how these calculations will help to address the anomalies currently in the spotlight of the particle physics community. With future increases in computational resources and algorithmic improvements, percent level (and below) lattice determinations will play a central role in constraining the standard model or identifying new physics.