${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks

Abstract

Measurements of the ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ decay rates can be used to determine the magnitudes of the CKM matrix elements $V_{ub}$ and $V_{cb}$, provided that the relevant hadronic form factors are known. Here we present a precise calculation of these form factors using lattice QCD with 2+1 flavors of dynamical domain-wall fermions. The $b$ and $c$ quarks are implemented with relativistic heavy-quark actions, allowing us to work directly at the physical heavy-quark masses. The lattice computation is performed for six different pion masses and two different lattice spacings, using gauge-field configurations generated by the RBC and UKQCD collaborations. The $b\to u$ and $b\to c$ currents are renormalized with a mostly nonperturbative method. We extrapolate the form factor results to the physical pion mass and the continuum limit, parametrizing the $q^2$-dependence using $z$-expansions. The form factors are presented in such a way as to enable the correlated propagation of both statistical and systematic uncertainties into derived quantities such as differential decay rates and asymmetries. Using these form factors, we present predictions for the ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ differential and integrated decay rates. Combined with experimental data, our results enable determinations of $|V_{ub}|$, $|V_{cb}|$, and $|V_{ub}/V_{cb}|$ with theory uncertainties of 4.4%, 2.2%, and 4.9%, respectively.

40 pages, 15 figures, form factor parameters included as ancillary files. v3: new definitions of z-expansion parameters t_+ and other minor improvements

References in corpus (21)

• Charmed bottom baryon spectroscopy from lattice QCD
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Determination of the quark coupling strength $|V_{ub}|$ using baryonic decays
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|
• The semileptonic decay Lambda_b -> Lambda_c + tau(-) + antinu_tau in the covariant confined quark model
• Can the differences in the determinations of $V_{ub}$ and $V_{cb}$ be explained by New Physics?
• The B -> D* l nu form factor at zero recoil from three-flavor lattice QCD: A model independent determination of |V_cb|
• ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ Decay in the Standard Model and with New Physics
• Diquarks and Λ_{b}\toΛ_c weak decays
• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Study of the kinematic dependences of ${\Lambda }_b^0$ production in $pp$ collisions and a measurement of the ${\Lambda }_b^0\to {\Lambda }_c^{+}{\pi }^{-}$ branching fraction
• Non-perturbatively Determined Relativistic Heavy Quark Action
• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• Heavy-to-light semileptonic decays of Lambda_b and Lambda_c baryons in the covariant confined quark model
• Lattice study of flavor SU(3) breaking in hyperon beta decay
• Left-right mixing on leptonic and semileptonic $b\to u$ decays
• Lambda_b -> Lambda l+ l- form factors and differential branching fraction from lattice QCD
• B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Status of $|V_{cb}|$ and $|V_{ub}|$ CKM matrix elements

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