Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feynman Integrals and Scattering Amplitudes from Wilson Loops   We study Feynman integrals and scattering amplitudes in ${\cal N}=4$
super-Yang-Mills by exploiting the duality with null polygonal Wilson loops.
Certain Feynman integrals, including one-loop and two-loop chiral pentagons,
are given by Feynman diagrams of a supersymmetric Wilson loop, where one can
perform loop integrations and be left with simple integrals along edges. As the
main application, we compute analytically for the first time, the symbol of the
generic ($n\geq 12$) double pentagon, which gives two-loop MHV amplitudes and
components of NMHV amplitudes to all multiplicities. We represent the double
pentagon as a two-fold $\mathrm{d} \log$ integral of a one-loop hexagon, and
the non-trivial part of the integration lies at rationalizing square roots
contained in the latter. We obtain a remarkably compact "algebraic words" which
contain $6$ algebraic letters for each of the $16$ square roots, and they all
nicely cancel in combinations for MHV amplitudes and NMHV components which are
free of square roots. In addition to $96$ algebraic letters, the alphabet
consists of $152$ dual conformal invariant combinations of rational letters.

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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph