2013
DOI: 10.1007/jhep08(2013)070
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Two-loop master integrals for $ q\overline{q}\to VV $ : the planar topologies

Abstract: The two-loop QCD corrections to vector boson pair production at hadron colliders involve a new class of Feynman integrals: two-loop four-point functions with two off-shell external legs. We describe their reduction to a small set of master integrals by solving linear relations among them. We then use differential equations in the external invariants to compute all master integrals that are relevant to planar Feynman amplitudes. Our results are expressed analytically in terms of generalized harmonic polylogarit… Show more

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Cited by 53 publications
(37 citation statements)
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“…Note that an analysis of master integrals for qq → V V reported recently in ref. [1] arrives at a similar conclusion: all, but one, of the integrals described in that reference are obtained using analytic continuation, while the remaining integral is computed directly in the physical region since the analytic continuation becomes too cumbersome. We, however, decided in favor of a unified approach for computing all the integrals for planar graphs.…”
Section: Boundary Conditions In the Physical Regionmentioning
confidence: 73%
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“…Note that an analysis of master integrals for qq → V V reported recently in ref. [1] arrives at a similar conclusion: all, but one, of the integrals described in that reference are obtained using analytic continuation, while the remaining integral is computed directly in the physical region since the analytic continuation becomes too cumbersome. We, however, decided in favor of a unified approach for computing all the integrals for planar graphs.…”
Section: Boundary Conditions In the Physical Regionmentioning
confidence: 73%
“…As we already mentioned in the Introduction, when we require external masses to be equal M 2 3 = M 2 4 = M 2 , we obtain a class of integrals considered recently in ref. [1]. Using the results for the integrals appended to the arXiv submission of ref.…”
Section: Checks Of the Resultsmentioning
confidence: 99%
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