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Λ_b to Λ_c^*(2595,2625)ell^-bar{ν} form factors from lattice QCD

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arxiv 2103.08775 v2 pith:UC246FNG submitted 2021-03-16 hep-lat hep-exhep-ph

Λ_b to Λ_c^*(2595,2625)ell^-bar{ν} form factors from lattice QCD

classification hep-lat hep-exhep-ph
keywords lambdafactorsformdecaydecaysdifferentialfinalfrac12
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the first lattice-QCD determination of the form factors describing the semileptonic decays $\Lambda_b \to \Lambda_c^*(2595)\ell^-\bar{\nu}$ and $\Lambda_b \to \Lambda_c^*(2625)\ell^-\bar{\nu}$, where the $\Lambda_c^*(2595)$ and $\Lambda_c^*(2625)$ are the lightest charm baryons with $J^P=\frac12^-$ and $J^P=\frac32^-$, respectively. These decay modes provide new opportunities to test lepton flavor universality and also play an important role in global analyses of the strong interactions in $b\to c$ semileptonic decays. We determine the full set of vector, axial vector, and tensor form factors for both decays, but only in a small kinematic region near the zero-recoil point. The lattice calculation uses three different ensembles of gauge-field configurations with $2+1$ flavors of domain-wall fermions, and we perform extrapolations of the form factors to the continuum limit and physical pion mass. We present Standard-Model predictions for the differential decay rates and angular observables. In the kinematic region considered, the differential decay rate for the $\frac12^-$ final state is found to be approximately 2.5 times larger than the rate for the $\frac32^-$ final state. We also test the compatibility of our form-factor results with zero-recoil sum rules.

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