Abstract

The phenomenology of leptonic decays of quarkonia holds many interesting features: for instance, it can establish constraints on scenarios beyond the Standard Model with the Higgs sector enriched by a light CP-odd state. In the following paper, we report on a two-flavor lattice QCD study of the eta _c and J/psi decay constants, f_{eta _c}=387(3)(3), {mathrm{MeV}} and f_{J/psi }=399(4)(2), {mathrm{MeV}}. We also examine some properties of the first radial excitation eta _c(2S) and psi (2S).

Highlights

  • This paper reports an estimate of hadronic parameters in the charmonia sector using lattice QCD with N f = 2 dynamical quarks: namely, the pseudoscalar decay constant fηc, because of its phenomenological importance, and the vector decay constant f J/ψ as well as the ratio of masses mηc(2S)/mηc and mψ(2S)/m J/ψ

  • We report on a two-flavor lattice QCD study of the ηc and J/ψ decay constants, fηc = 387(3)(3) MeV and f J/ψ = 399(4)(2) MeV

  • This work is an intermediary step before going to the bottom sector, the final target of our program, because it is more promising for the phenomenology of extended Higgs sectors

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Summary

Introduction

This paper reports an estimate of hadronic parameters in the charmonia sector using lattice QCD with N f = 2 dynamical quarks: namely, the pseudoscalar decay constant fηc , because of its phenomenological importance, and the vector decay constant f J/ψ as well as the ratio of masses mηc(2S)/mηc and mψ(2S)/m J/ψ. The two latter quantities are very well measured by experiments and their estimation has helped us to understand how much our analysis method can address the systematic effects, on quarkonia physics, coming from the lattice ensembles we have considered. An extensive study of the spectoscopy of charmonia has been done in [4,5] while only two lattice estimates of fηc and f J/ψ are available so far at Nf = 2 [6] and Nf = 2 + 1 [7,8]

Lattice set-up
GEVP discussion
Interpolating field basis
Summary
Decay constant extraction
Analysis
Ground state results
First radial excitation results
Findings
Conclusion
Full Text
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