论文标题
gluon碎片成$ {^{^{3} \ hspace {-0.6mm} p_ {j}^{[1,8]}} $ quark Pair和NRQCD分数的测试在两循环级别
Gluon fragmentation into ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ quark pair and test of NRQCD factorization at two-loop level
论文作者
论文摘要
The next-to-leading order (NLO) ($\mathcal{O}(α_s^3)$) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ states are calculated within the NRQCD factorization.我们使用逐个零件的集成和微分方程来计算全QCD中的片段化函数，并发现红外差异可以被NRQCD的长距离矩阵元素吸收。因此，NRQCD分解的猜想通过物理过程在两环水平上进行了验证，该过程不含人造紫外线差异。通过匹配过程，红外安全距离系数和$ \ MATHCAL {O}（α_s^2）$扰动nrqcd矩阵元素$ \ langle {\ Mathcal O}^{{{^{3} \ hspace {-0.6mm} p_ {j}^{[1,8]}}}}}}}}}}（{^^{3} \ hspace {-0.6mm} s_mm} s_mm} s_ {1}}^{1}^{[8]}^{[8]}} $ genter} $ nlo} 同时地。发现NLO短距离系数与LO相比具有显着的校正。
The next-to-leading order (NLO) ($\mathcal{O}(α_s^3)$) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ states are calculated within the NRQCD factorization. We use integration-by-parts reduction and differential equations to semi-analytically calculate fragmentation functions in full-QCD, and find that infrared divergences can be absorbed by the NRQCD long distance matrix elements. Thus, the NRQCD factorization conjecture is verified at two-loop level via a physical process, which is free of artificial ultraviolet divergences. Through matching procedure, infrared-safe short distance coefficients and $\mathcal{O}(α_s^2)$ perturbative NRQCD matrix elements $\langle{\mathcal O}^{{^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}}({^{3}\hspace{-0.6mm}S_{1}^{[8]}})\rangle_{\mathrm{NLO}}$ are obtained simultaneously. The NLO short distance coefficients are found to have significant corrections comparing with the LO ones.
