Author:
Zhang Peng,Meng Ce,Ma Yan-Qing,Chao Kuang-Ta
Abstract
Abstract
The next-to-leading order (NLO) ($$ \mathcal{O} $$
O
($$ {\alpha}_s^3 $$
α
s
3
)) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in 3$$ {P}_J^{\left[1,8\right]} $$
P
J
1
8
states are calculated within the NRQCD factorization. We use the integration-by-parts reduction and differential equations to semi-analytically calculate the 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 the matching procedure, infrared-safe short distance coefficients and $$ \mathcal{O} $$
O
($$ {\alpha}_s^2 $$
α
s
2
) perturbative NRQCD matrix elements ⟨$$ {\mathcal{O}}^3{P}_J^{\left[1,8\right]} $$
O
3
P
J
1
8
(3$$ {S}_1^{\left[8\right]} $$
S
1
8
)⟩ are obtained simultaneously. The NLO short distance coefficients are found to have significant corrections comparing with the LO ones.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
7 articles.
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