Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The one-loop six-dimensional hexagon integral and its relation to MHV
  amplitudes in N=4 SYM   We provide an analytic formula for the (rescaled) one-loop scalar hexagon
integral $\tilde\Phi_6$ with all external legs massless, in terms of classical
polylogarithms. We show that this integral is closely connected to two
integrals appearing in one- and two-loop amplitudes in planar $\\mathcal{N}=4$
super-Yang-Mills theory, $\Omega^{(1)}$ and $\Omega^{(2)}$. The derivative of
$\Omega^{(2)}$ with respect to one of the conformal invariants yields
$\tilde\Phi_6$, while another first-order differential operator applied to
$\tilde\Phi_6$ yields $\Omega^{(1)}$. We also introduce some kinematic
variables that rationalize the arguments of the polylogarithms, making it easy
to verify the latter differential equation. We also give a further example of a
six-dimensional integral relevant for amplitudes in $\\mathcal{N}=4$
super-Yang-Mills.

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The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn