New physics in → Anomalies and its Implications for the Complementary Neutral Current Decays
Faisal Munir Bhutta (Institute of Theoretical Physics, Faculty of Science, Beijing University of Technology, Beijing, China); Zhuo-Ran Huang (Asia Pacific Center for Theoretical Physics, Pohang, Republic of Korea, Université Paris-Saclay, CNRS/IN2P3, IJCLab, Orsay, France)
; Cai-Dian Lü (Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China, School of Physics, University of Chinese Academy of Sciences, Beijing, China); M. Ali Paracha (Department of Physics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad, Pakistan); Wenyu Wang (Institute of Theoretical Physics, Faculty of Science, Beijing University of Technology, Beijing, China)
We study the Standard Model and the new physics predictions for the lepton-flavour-universality violating (LFUV) ratios in various channels with scalar, pseudoscalar, vector, axial-vector, and Λ baryon final states, considering both unpolarized and polarized final state hadrons. In order to formulate physical observables, we use the model independent effective Hamiltonian approach and employ the helicity formalism. We provide the explicit expressions of the helicity amplitudes in terms of the Wilson coefficients and the hadronic form factors by using the same kinematical configuration and polarization conventions for all the decay channels. We perform the numerical analysis with new physics scenarios selected from the recent global fits to data, having specific new physics model interpretations. We find that some of the LFUV ratios for these complementary channels in different kinematical regions have high sensitivity to new physics and the future measurements of them in Belle II and LHCb experiments, along with testing new physics/LFUV, can help to distinguish among some of the different new physics possibilities.