An exact sum rule connects branching fractions of Lambda_b -> Lambda nu nubar and B -> K(*) nu nubar decays with coefficients identical to those in the b->c tau semileptonic sum rule.
Study of $\Lambda_b\to\Lambda\nu\bar{\nu}$ with Polarized Baryons
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abstract
We investigate the decay of $\Lambda_b\to\Lambda\nu\bar{\nu}$ with the polarized baryons of $\Lambda_b$ and $\Lambda$. With the most general hadronic form factors, we first study the decay branching ratio and then derive the longitudinal, normal and transverse polarizations of $\Lambda$ in terms of the spin unit vectors of $\Lambda_b$ and $\Lambda $ and the momentum of $\Lambda $. A polarization of $\Lambda_b$ is also discussed.
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Perturbative QCD calculations find that branching fractions for Ξ_b to Ξ lepton-pair decays lie within LHCb reach and that angular observables plus a specific ratio can constrain Wilson coefficients and extract |V_td/V_ts| independently of mesonic modes.
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Baryon-Meson Sum Rule for $b \to s \nu\bar\nu$
An exact sum rule connects branching fractions of Lambda_b -> Lambda nu nubar and B -> K(*) nu nubar decays with coefficients identical to those in the b->c tau semileptonic sum rule.
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Semileptonic neutral current decays of $\Xi_b$ with dileptons or dineutrinos in the final state
Perturbative QCD calculations find that branching fractions for Ξ_b to Ξ lepton-pair decays lie within LHCb reach and that angular observables plus a specific ratio can constrain Wilson coefficients and extract |V_td/V_ts| independently of mesonic modes.