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$\Lambda_b \to \Lambda \ell^+ \ell^-$ form factors, differential branching fraction, and angular observables from lattice QCD with relativistic $b$ quarks
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abstract
Using $(2+1)$-flavor lattice QCD, we compute the 10 form factors describing the $\Lambda_b \to \Lambda$ matrix elements of the $b \to s$ vector, axial vector, and tensor currents. The calculation is based on gauge field ensembles generated by the RBC and UKQCD Collaborations with a domain-wall action for the $u$, $d$, and $s$ quarks and the Iwasaki gauge action. The $b$ quark is implemented using an anisotropic clover action, tuned nonperturbatively to the physical point, and the currents are renormalized with a mostly nonperturbative method. We perform simultaneous chiral, continuum, and kinematic extrapolations of the form factors through modified $z$ expansions. Using our form factor results, we obtain precise predictions for the $\Lambda_b \to \Lambda(\to p^+ \pi^-) \mu^+ \mu^-$ differential branching fraction and angular observables in the Standard Model.
Forward citations
Cited by 4 Pith papers
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HyperIso is a new modular software tool that computes flavour observables and BSM Wilson coefficients, validated against SuperIso and MARTY, with a copula-based uncertainty engine.
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Lepton polarization dependent angular observables and the polarization asymmetries in the four-fold $\Lambda_b \rightarrow \Lambda(\rightarrow N \pi) \ell^+\ell^-$ decay
The authors derive the lepton-polarized four-fold angular distributions for Λ_b→Λ(→Nπ)ℓ⁺ℓ⁻, identify new angular coefficients for normal and transverse polarizations, and provide SM and NP predictions for the polariza...
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SCET sum rules for $\Lambda_b \to \Lambda \ell^+\ell^-$, $\Lambda \gamma$ decays
SCET light-cone sum rules give NLO soft form factors and small non-factorizable corrections for Λ_b → Λ decays, with a Λ_b → Λ γ branching fraction consistent with data.
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$\Lambda_b \to \Lambda^{(\ast)}\nu\bar{\nu}$ decays and the recent Belle-II $B^+\to K^+\nu\bar{\nu}$ data
Belle-II's B+ -> K+ nu nubar excess, if due to new physics, constrains the branching ratios and angular observables of Lambda_b -> Lambda(*) nu nubar decays, with the hadronic forward-backward asymmetry the best discr...
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