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Phys Rev Lett. 2018 Nov 16;121(20):202001. doi: 10.1103/PhysRevLett.121.202001.

New Predictions for Λ_{b}→Λ_{c} Semileptonic Decays and Tests of Heavy Quark Symmetry.

Physical review letters

Florian U Bernlochner, Zoltan Ligeti, Dean J Robinson, William L Sutcliffe

Affiliations

  1. Karlsruher Institute of Technology, 76131 Karlsruhe, Germany.
  2. Ernest Orlando Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720, USA.
  3. Santa Cruz Institute for Particle Physics and Department of Physics, University of California Santa Cruz, Santa Cruz, California 95064, USA.

PMID: 30500212 DOI: 10.1103/PhysRevLett.121.202001

Abstract

The heavy quark effective theory makes model independent predictions for semileptonic Λ_{b}→Λ_{c} decays in terms of a small set of parameters. No subleading Isgur-Wise function occurs at order Λ_{QCD}/m_{c,b}, and only two subsubleading functions enter at order Λ_{QCD}^{2}/m_{c}^{2}. These features allow us to fit the form factors and decay rates calculated up to order Λ_{QCD}^{2}/m_{c}^{2} to LHCb data and lattice QCD calculations. We derive a significantly more precise standard model prediction for the ratio B(Λ_{b}→Λ_{c}τν[over ¯])/B(Λ_{b}→Λ_{c}μν[over ¯]) than prior results, and find the expansion in Λ_{QCD}/m_{c} well behaved, addressing a long-standing question. Our results allow more precise and reliable calculations of Λ_{b}→Λ_{c}ℓν[over ¯] rates, and are systematically improvable with better data on the μ (or e) modes.

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