Abstract
We review many lattice QCD calculations that impact the precise determination of the CKM matrix. We focus on decay constants and semileptonic form factors of both light (\(\pi \) and K) and heavy-light (\(D_{(s)}\) and \(B_{(s)}\)) mesons. Implication of \(\Lambda _b\) form factors will be shown. When combined with experimental results for branching fractions and differential decay rates, the above calculations strongly constrain the first two rows of the CKM matrix. We discuss a long standing difference between \(|V_{ub}|\) and \(|V_{cb}|\) as determined from exclusive or inclusive decays.
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Acknowledgements
I thank the FPCP organizers for their wonderful hospitality and a stimulating conference. I gratefully acknowledge my colleagues in the Fermilab Lattice and MILC Collaborations for wonderful working relationships and friendships. I also thank FLAG members who contribute countless hours to making lattice QCD results more easily available to the wider community. This work was supported by the US DOE grant DE-SC0010120.
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Gottlieb, S. (2019). Lattice QCD Impact on Determination of the CKM Matrix. In: Giri, A., Mohanta, R. (eds) 16th Conference on Flavor Physics and CP Violation. FPCP 2018. Springer Proceedings in Physics, vol 234. Springer, Cham. https://doi.org/10.1007/978-3-030-29622-3_32
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DOI: https://doi.org/10.1007/978-3-030-29622-3_32
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