Exclusive semileptonic decays of D and D s mesons in the covariant confining quark model
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Front. Phys. 14(6), 64401 (2019)
Review article Exclusive semileptonic decays of D and Ds mesons in the covariant confining quark model M. A. Ivanov1,# , J. G. Körner2,† , J. N. Pandya3,‡ , P. Santorelli4,5,§ , N. R. Soni3,¶ , C. T. Tran4,5,♭ 1
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität, D-55099 Mainz, Germany 3 Applied Physics Department, Faculty of Technology and Engineering, The Maharaja Sayajirao University of Baroda, Vadodara 390001, Gujarat, India 4 Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio 6, 80126 Napoli, Italy 5 Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, 80126 Napoli, Italy E-mail: # [email protected], † [email protected], ‡ [email protected], § [email protected], ¶ [email protected], ♭ [email protected] Received April 29, 2019; accepted May 25, 2019 2
Recently, the BESIII collaboration has reported numerous measurements of various D(s) meson semileptonic decays with significantly improved precision. Together with similar studies carried out at BABAR, Belle, and CLEO, new windows to a better understanding of weak and strong interactions in the charm sector have been opened. In light of new experimental data, we review the theoretical description and predictions for the semileptonic decays of D(s) to a pseudoscalar or a vector meson. This review is essentially an extended discussion of our recently published results obtained in the framework of the covariant confining quark model. Keywords covariant quark model, semileptonic decay, charmed meson, form factor, angular distribution
Contents 1 Introduction 2 Matrix element and form factors 3 Helicity amplitudes and decay distribution 4 Fourfold distribution and physical observables 5 Form factors in the covariant confining quark model 6 Results and discussion 6.1 D0 → (π − , K − )ℓ+ νℓ and D+ → (π 0 , K 0 )ℓ+ νℓ 6.2 D0 → ρ− ℓ+ νℓ and D+ → ρ0 ℓ+ νℓ 6.3 D+ → ωℓ+ νℓ ¯ ∗ (892)0 ℓ+ νℓ and 6.4 D+ → K 0 D → K ∗ (892)− ℓ+ νℓ 6.5 Ds+ → K 0 ℓ+ νℓ ¯ ∗ (892)0 ℓ+ νℓ 6.6 Ds+ → K + 6.7 Ds → ϕℓ+ νℓ 6.8 D+ → η (′) ℓ+ νℓ and Ds+ → η (′) ℓ+ νℓ + 6.9 D(s) → D0 e+ νe 6.10 Polarization observables 7 Summary and conclusion Acknowledgements References
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Introduction
One of the fundamental ingredients of the Standard Model (SM) of particle physics is the Cabibbo–Kobayashi– Maskawa (CKM) matrix [1, 2] which describes the quark mixing and holds the key to CP -violating phenomena. Precise determination of the CKM matrix elements is therefore crucially important. In this respect, semileptonic weak decays of mesons play an important role in our understanding of the SM since they provide the most direct way to extract the CKM matrix elements from experiments. Purely leptonic decays of mesons can also be used for the same purpose,
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