Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic result for the one-loop scalar pentagon integral with massless
  propagators   The method of dimensional recurrences proposed by one of the authors [1,2] is
applied to the evaluation of the pentagon-type scalar integral with on-shell
external legs and massless internal lines. For the first time, an analytic
result valid for arbitrary space-time dimension d and five arbitrary kinematic
variables is presented. An explicit expression in terms of the Appell
hypergeometric function F_3 and the Gauss hypergeometric function_2F_1, both
admitting one-fold integral representations, is given. In the case when one
kinematic variable vanishes, the integral reduces to a combination of Gauss
hypergeometric functions_2F_1. For the case when one scalar invariant is large
compared to the others, the asymptotic values of the integral in terms of Gauss
hypergeometric functions_2F_1 are presented in d = 2 - 2 epsilon, 4 - 2
epsilon, and 6 - 2 epsilon dimensions. For multi-Regge kinematics, the
asymptotic value of the integral in d = 4 - 2 epsilon dimensions is given in
terms of the Appell function F_3 and the Gauss hypergeometric function_2F_1.

2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin