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A non-planar two-loop three-point function beyond multiple polylogarithms

Manteuffel, A. von; Tancredi, L.

We consider the analytic calculation of a two-loop non-planar three-point function which contributes to the two-loop amplitudes for tt ¯ production and γγ production in gluon fusion through a massive top-quark loop. All subtopology integrals can be written in terms of multiple polylogarithms over an irrational alphabet and we employ a new method for the integration of the differential equations which does not rely on the rationalization of the latter. The top topology integrals, instead, in spite of the absence of a massive three-particle cut, cannot be evaluated in terms of multiple polylogarithms and require the introduction of integrals over complete elliptic integrals and polylogarithms. We provide one-fold integral representations for the solutions and continue them analytically to all relevant regions of the phase space in terms of real functions, extracting all imaginary parts explicitly. The numerical evaluation of our expressions becomes straightforward in this way.

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Verlagsausgabe §
DOI: 10.5445/IR/1000072078
Veröffentlicht am 11.12.2017
DOI: 10.1007/JHEP06(2017)127
Zitationen: 57
Zitationen: 49
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2017
Sprache Englisch
Identifikator ISSN: 1029-8479, 1126-6708
KITopen-ID: 1000072078
Erschienen in Journal of high energy physics
Verlag Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Band 2017
Heft 6
Seiten 127
Bemerkung zur Veröffentlichung Gefördert durch SCOAP3
Schlagwörter NLO Computations; QCD Phenomenology
Nachgewiesen in Dimensions
Web of Science
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