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arXiv 1508.01445hep-phhep-ex
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辐射重夸克偶素衰变到标量Gdos球的因式分解

Factorization for radiative heavy quarkonium decays into scalar Glueball

Ruilin Zhu

摘要:

建立了重夸克偶素矢量态(如$J/ψ$、$ψ(2S)$和$Υ(nS)$)辐射衰变产生标量Gdash球的因式分解公式,其中Gdash球的质量远小于母夸克偶素的质量.通过对硬核、重夸克偶素的非相对论性QCD(NRQCD)长距离矩阵元(LDME)和标量球的光锥分布振幅(LCDA)的次领先阶(NLO)修正,在单圈水平上明确地证明了因子分解.因式分解为研究重夸克偶素矢量态辐射衰变中的引力球产生和确定引力球的性质提供了一个全面的理论途径。本文讨论了标量球的LCDA的尺度演化方程。最后,我们从格点量子色动力学计算中提取了标量Geso球的衰变常数,并分析了$f_0(1370)$、$f_0(1500)$和$f_0(1710)$之间的混合效应。

英文摘要:

We establish the factorization formula for scalar Glueball production through radiative decays of vector states of heavy quarkonia, e.g. $J/ψ$, $ψ(2S)$ and $Υ(nS)$, where the Glueball mass is much less than the parent heavy quarkonium mass. The factorization is demonstrated explicitly at one-loop level through the next-to-leading order (NLO) corrections to the hard kernel, the non-relativistic QCD (NRQCD) long-distance matrix element (LDMEs) of the heavy quarkonium, and the light-cone distribution amplitude (LCDA) of scalar Glueball. The factorization provides a comprehensive theoretical approach to investigate Glueball production in the radiative decays of vector states of heavy quarkonia and to determine the physic nature of Glueball. We discuss the scale evolution equation of LCDA for scalar Glueball. In the end, we extract the value of the decay constant of Scalar Glueball from Lattice QCD calculation and analyze the mixing effect among $f_0(1370)$, $f_0(1500)$ and $f_0(1710)$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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