Thursday, December 20, 2012

1212.4827 (William Detmold et al.)

Lambda_b -> Lambda l+ l- form factors and differential branching
fraction from lattice QCD
   [PDF]

William Detmold, C. -J. David Lin, Stefan Meinel, Matthew Wingate
We present the first lattice QCD determination of the $\Lambda_b \to \Lambda$ transition form factors that govern the rare baryonic decays $\Lambda_b \to \Lambda l^+ l^-$ at leading order in heavy-quark effective theory. Our calculations are performed with 2+1 flavors of domain-wall fermions, at two lattice spacings and with pion masses down to 227 MeV. Three-point functions with a wide range of source-sink separations are used to extract the ground-state contributions. The form factors are extrapolated to the physical values of the light-quark masses and to the continuum limit. We use our results to calculate the differential branching fractions for $\Lambda_b \to \Lambda l^+ l^-$ with $l=e,\mu,\tau$ within the standard model. We find agreement with a recent CDF measurement of the $\Lambda_b \to \Lambda \mu^+ \mu^-$ differential branching fraction.
View original: http://arxiv.org/abs/1212.4827

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