Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nine-Propagator Master Integrals for Massless Three-Loop Form Factors   We complete the calculation of master integrals for massless three-loop form
factors by computing the previously-unknown three diagrams with nine
propagators in dimensional regularisation. Each of the integrals yields a
six-fold Mellin-Barnes representation which we use to compute the coefficients
of the Laurent expansion in epsilon. Using Riemann zeta functions of up to
weight six, we give fully analytic results for one integral; for a second,
analytic results for all but the finite term; for the third, analytic results
for all but the last two coefficients in the Laurent expansion. The remaining
coefficients are given numerically to sufficiently high accuracy for
phenomenological applications.

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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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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: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys