Regular Article - Theoretical Physics
Heavy + light pseudoscalar meson semileptonic transitions
School of Physics, Nanjing University, 210093, Nanjing, Jiangsu, China
2 Institute for Nonperturbative Physics, Nanjing University, 210093, Nanjing, Jiangsu, China
Accepted: 29 November 2021
Published online: 15 December 2021
A symmetry-preserving regularisation of a vector vector contact interaction (SCI) is used to deliver a unified treatment of semileptonic transitions involving , K, , initial states. The framework is characterised by algebraic simplicity, few parameters, and the ability to simultaneously treat systems from Nambu–Goldstone modes to heavy+heavy mesons. Although the SCI form factors are typically somewhat stiff, the results are comparable with experiment and rigorous theory results. Hence, predictions for the five unmeasured branching fractions should be a reasonable guide. The analysis provides insights into the effects of Higgs boson couplings via current-quark masses on the transition form factors; and results on transitions yield a prediction for the Isgur–Wise function in fair agreement with contemporary data.
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