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arXiv 2106.09417hep-phhep-exhep-latnucl-th
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pNRQCD中重夸克偶素的包容产生

Inclusive Production of Heavy Quarkonia in pNRQCD

Nora Brambilla, Hee Sok Chung, Antonio Vairo

摘要:

基于非相对论QCD和势非相对论QCD有效场论,我们发展了一种计算重夸克偶素包含产生截面的形式。我们的形式主义适用于强耦合夸克偶素,其中包括激发粲偶素和底偶素状态。类似于重夸克偶素衰变过程,我们用原点处的夸克偶素波函数和普适胶子算符来表示非相对论性QCD长距离矩阵元。我们的表达式的长距离矩阵元素是有效的顺序$1/N_c^2$的纠正。这些表达式通过减少非微扰未知数的数量,增强了非相对论性有效场论方法对包容性生产过程的预测能力,并且一旦胶子已知,就可以用第一原理确定长距离矩阵元。在此基础上,我们计算了LHC中$P$波charmonia和bottomonia的产生截面,并与测量结果吻合较好。

英文摘要:

We develop a formalism for computing inclusive production cross sections of heavy quarkonia based on the nonrelativistic QCD and the potential nonrelativistic QCD effective field theories. Our formalism applies to strongly coupled quarkonia, which include excited charmonium and bottomonium states. Analogously to heavy quarkonium decay processes, we express nonrelativistic QCD long-distance matrix elements in terms of quarkonium wavefunctions at the origin and universal gluonic correlators. Our expressions for the long-distance matrix elements are valid up to corrections of order $1/N_c^2$. These expressions enhance the predictive power of the nonrelativistic effective field theory approach to inclusive production processes by reducing the number of nonperturbative unknowns, and make possible first-principle determinations of long-distance matrix elements once the gluonic correlators are known. Based on this formalism, we compute the production cross sections of $P$-wave charmonia and bottomonia at the LHC, and find good agreement with measurements.

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