来自晶格量子色动力学和pNRQCD的包含性P波夸克偶素衰变宽度
Inclusive P-wave Quarkonium Decay Widths from Lattice QCD and pNRQCD
AI总结：
研究利用晶格QCD与pNRQCD结合的框架计算包含性P波重夸克偶素衰变为轻强子的宽度，通过确定两点色电关联函数的通用矩等，重现了$\chi_{cJ}(1P)$宽度并预测$\chi_{bJ}(nP)$宽度，框架还可扩展到其他强子。
AI中文摘要：
对于第一原理量子色动力学（QCD）而言，包含性强子衰变宽度一直是一个长期存在的挑战。我们提出了一个将晶格QCD与强耦合势非相对论QCD（pNRQCD）相结合的框架，用于计算包含性P波重夸克偶素衰变为轻强子的过程。在速度展开的主导阶，除了波函数在原点处导数的平方外，所有非微扰效应都编码在两点色电关联函数的一个单一通用矩中，我们首次通过梯度流从淬火晶格QCD计算并与$\overline{\mathrm{MS}}$匹配来确定它。结合微扰短程系数和波函数在原点处导数的平方，我们的结果重现了观测到的$\chi_{cJ}(1P)$宽度，同时为未测量的$\chi_{bJ}(nP)$宽度提供了预测。该框架自然地扩展到普通和奇异强子的包含性衰变和产生。
英文摘要：
Inclusive hadronic decay widths remain a long-standing challenge for first-principles QCD. We present a framework combining lattice QCD with strongly-coupled potential nonrelativistic QCD (pNRQCD) to compute inclusive P-wave heavy quarkonium decays to light hadrons. At leading order in the velocity expansion, all nonperturbative effects, apart from the square of the derivative of the wavefunction at the origin, are encoded in a single universal moment of the two-point chromoelectric correlator, which we determine for the first time from a quenched lattice QCD calculation matched to $\overline{\mathrm{MS}}$ via the gradient flow. Combined with perturbative short-distance coefficients and the square of the derivative of the wavefunction at the origin, our result reproduces the observed $χ_{cJ}(1P)$ widths and, at the same time, provides predictions for the unmeasured $χ_{bJ}(nP)$ widths. The framework extends naturally to inclusive decays and production of ordinary and exotic hadrons.
