Abstract
Using the MILC 2+1 flavor asqtad quark action ensembles, we are calculating the form factors f0 and f+ for the semileptonic Bs → Kℓv decay. A total of six ensembles with lattice spacing from ≈ 0.12 to 0.06 fm are being used. At the coarsest and finest lattice spacings, the light quark mass m’l is one-tenth the strange quark mass m’s. At the intermediate lattice spacing, the ratio m’l/m’s ranges from 0.05 to 0.2. The valence b quark is treated using the Sheikholeslami-Wohlert Wilson-clover action with the Fermilab interpretation. The other valence quarks use the asqtad action. When combined with (future) measurements from the LHCb and Belle II experiments, these calculations will provide an alternate determination of the CKM matrix element |Vub|.
Highlights
The Cabibbo-Kobayashi-Masakawa (CKM) matrix describes weak interaction mixing of quarks in the Standard Model of elementary particle and nuclear physics
The element |Vub| is an important avenue to search for new physics
The theory error from lattice calculations are smaller for the process at hand, Bs → K− +ν, because the spectator quark is strange, rather than an up or down quark. Experimental measurements of this decay will be available from LHCb and Belle II
Summary
The Cabibbo-Kobayashi-Masakawa (CKM) matrix describes weak interaction mixing of quarks in the Standard Model of elementary particle and nuclear physics. If the CKM matrix is not unitary, or if independent determinations of a particular matrix element from different decays do not agree, that provides evidence of new physics beyond the Standard Model. The theory error from lattice calculations are smaller for the process at hand, Bs → K− +ν, because the spectator quark is strange, rather than an up or down quark. Experimental measurements of this decay will be available from LHCb and Belle II. The RBC and UKQCD Collaborations [7] have used 2+1 flavor domain-wall dynamical quark ensembles, domain-wall valence light quarks and a relativistic heavy quark action for the b quark
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