Abstract
Abstract
We present a factorization theorem valid near the kinematic threshold $$ z={Q}^2/\hat{s}\to 1 $$
z
=
Q
2
/
s
̂
→
1
of the partonic Drell-Yan process $$ q\overline{q}\to {\gamma}^{\ast }+X $$
q
q
¯
→
γ
∗
+
X
for general subleading powers in the (1 − z) expansion. We then consider the specific case of next-to-leading power. We discuss the emergence of collinear functions, which are a key ingredient to factorization starting at next-to-leading power. We calculate the relevant collinear functions at $$ \mathcal{O}\left({\alpha}_s\right) $$
O
α
s
by employing an operator matching equation and we compare our results to the expansion-by- regions computation up to the next-to-next-to-leading order, finding agreement. Factorization holds only before the dimensional regulator is removed, due to a divergent convolution when the collinear and soft functions are first expanded around d = 4 before the convolution is performed. This demonstrates an issue for threshold resummation beyond the leading-logarithmic accuracy at next-to-leading power.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
43 articles.
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