Abstract
We investigate semileptonic sum rules in heavy-to-light charm decays, motivated by analogous relations in b → c and b → u transitions. Focusing on the c → d ℓ ¯ ν decays, D → π ℓ ¯ ν , D → ρ ℓ ¯ ν , and Λ c → n ℓ ¯ ν , we examine a relation among their lepton-flavor universality ratios R H μ e . Although the charm sum rule is less precise than the relations in bottom-hadron decays, current low-energy and high- p T constraints on new physics restrict the actual deviation from the relation to below the percent level. The relation can therefore provide a useful consistency check of charm semileptonic measurements. As an application, we derive a prediction for the yet-unmeasured ratio R n μ e in Λ c → n ℓ ¯ ν .
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Funding Information
  • Japan Society for the Promotion of Science (22K21347)
  • Japan Society for the Promotion of Science (24K07025)
  • Japan Society for the Promotion of Science (24K22879)
  • Japan Society for the Promotion of Science (24K23939)
  • Japan Society for the Promotion of Science (25K17385)
  • Japan Science and Technology Agency (JPMJSP2125)
  • TOYOAKI SCHOLARSHIP FOUNDATION

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