Header

UZH-Logo

Maintenance Infos

Master integrals for the NNLO virtual corrections to $q \overline{q} \to t \overline{t}$ scattering in QCD: the non-planar graphs


Di Vita, Stefano; Gehrmann, Thomas; Laporta, Stefano; Mastrolia, Pierpaolo; Primo, Amedeo; Schubert, Ulrich (2019). Master integrals for the NNLO virtual corrections to $q \overline{q} \to t \overline{t}$ scattering in QCD: the non-planar graphs. Journal of High Energy Physics, 2019(6):117.

Abstract

We complete the analytic evaluation of the master integrals for the two-loop non-planar box diagrams contributing to the top-pair production in the quark-initiated channel, at next-to-next-to-leading order in QCD. The integrals are determined from their differential equations, which are cast into a canonical form using the Magnus exponential. The analytic expressions of the Laurent series coefficients of the integrals are expressed as combinations of generalized polylogarithms, which we validate with several numerical checks. We discuss the analytic continuation of the planar and the non-planar master integrals, which contribute to $qq \to tt$ in QCD, as well as to the companion QED scattering processes $ee \to μμ$ and $eμ \to eμ$.

Abstract

We complete the analytic evaluation of the master integrals for the two-loop non-planar box diagrams contributing to the top-pair production in the quark-initiated channel, at next-to-next-to-leading order in QCD. The integrals are determined from their differential equations, which are cast into a canonical form using the Magnus exponential. The analytic expressions of the Laurent series coefficients of the integrals are expressed as combinations of generalized polylogarithms, which we validate with several numerical checks. We discuss the analytic continuation of the planar and the non-planar master integrals, which contribute to $qq \to tt$ in QCD, as well as to the companion QED scattering processes $ee \to μμ$ and $eμ \to eμ$.

Statistics

Citations

Dimensions.ai Metrics
3 citations in Web of Science®
2 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

16 downloads since deposited on 16 Aug 2019
16 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Uncontrolled Keywords:Nuclear and High Energy Physics
Language:English
Date:1 June 2019
Deposited On:16 Aug 2019 14:06
Last Modified:25 Sep 2019 00:40
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/jhep06(2019)117

Download

Gold Open Access

Download PDF  'Master integrals for the NNLO virtual corrections to $q \overline{q} \to t \overline{t}$ scattering in QCD: the non-planar graphs'.
Preview
Content: Published Version
Filetype: PDF
Size: 672kB
View at publisher
Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)