Semi-leptonic [formula omitted] decays in the standard model and in the universal extra dimension model

Zhi-Gang Wang

doi:10.1016/j.nuclphysb.2015.07.015

Zhi-Gang Wang

Open Access

https://doi.org/10.1016/j.nuclphysb.2015.07.015

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Abstract

In this article, we assume the two nonets of scalar mesons below and above 1 GeV are all q¯q states, and study the semi-leptonic decays B→Sℓ−ν¯ℓ, B→Sℓ+ℓ− and B→Sν¯ν both in the standard model and in the universal extra dimension model using the B–S form-factors calculated by the light-cone QCD sum rules in our previous work. We obtain the partial decay widths and decay widths, which can be confronted with the experimental data in the future to examine the natures of the scalar mesons and constrain the basic parameter in the universal extra dimension model, the compactification scale 1/R.

Highlights

The natures of the scalar mesons are not well established theoretically, and their underlying structures are under hot debating [1]
We assume that the scalar mesons are all qq states, in case I, the scalar mesons {f0(600), a0(980), κ(800), f0(980)} below 1 GeV are the ground states, in case II, the scalar mesons {f0(1370), a0(1450), K0∗(1430), f0(1500)} above 1 GeV are the ground states; and study the B − S transition form-factors with the light-cone QCD sum rules [2]
We take the B − S form-factors as basic input parameters, and study the semi-leptonic decays B → Sl−νl, B → Sl+l− and B → Sνν both in the standard model and in the universal extra dimension model to examine the natures of the scalar mesons and search for new physic beyond the standard model

Summary

Introduction

The natures of the scalar mesons are not well established theoretically, and their underlying structures are under hot debating [1]. (1.32 ± 0.06) × 10−3 and (1.44 ± 0.08) × 10−3, respectively [24], the large branching fractions and small uncertainties favor extracting the transition amplitudes ABJ/ψK and ABJ/ψK∗ so as to take into account contributions of the intermediate cc resonances in the decays B → K(K∗)μ+μ−. The decays B → J/ψS, ψ′S, ψ(4160)S revelent to the present processes are not observed yet, we cannot extract the transition amplitudes ABJ/ψS, ABψ′S, ABψ(4160)S from the experimental data to account for the contributions of the intermediate cc resonances as in Ref.[18]. We take into account the factorizable contributions of the cc loops in the leading-order approximation, and neglect the contributions of the intermediate cc resonances according to the scarce experimental data on the decays B → J/ψS, ψ′S, ψ(4160)S

Numerical results and discussions

Findings

Conclusion