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  • Letter
  • Open Access

B¯→D(*)ℓX¯ decays in effective field theory with massive right-handed neutrinos

Alakabha Datta1,*, Hongkai Liu2,†, and Danny Marfatia3,4,‡

  • 1Department of Physics and Astronomy, University of Mississippi, Oxford, Mississippi 38677, USA
  • 2Department of Physics, Technion - Israel Institute of Technology, Haifa 3200003, Israel
  • 3Department of Physics and Astronomy, University of Hawaii at Manoa, Honolulu, Hawaii 96822, USA
  • 4Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA

  • *datta@phy.olemiss.edu
  • †liu.hongkai@campus.technion.ac.il
  • ‡dmarf8@hawaii.edu

Phys. Rev. D 106, L011702 – Published 28 July, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L011702

Abstract

We calculate the complete differential decay distributions for the B meson decays, B¯→D(*)ℓX¯, to a massive right-handed (RH) neutrino in the low-energy effective field theory (LEFT) framework. We find that a massive RH neutrino does not introduce any new angular structures compared to the massless case, but can cause significant distortions in angular observables. We study the phenomenology of low-energy four-fermion operators permitted by the standard model effective field theory (SMEFT) extended with RH neutrinos (SMNEFT). We show that to explain the positive value of the difference in forward-backward asymmetries, ΔAFB≡AFBμ−AFBe, tentatively inferred from Belle data, the RH neutrino must be massive. We also make predictions for q2 dependent angular observables to motivate future measurements.

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