The unequal mass sunrise integral expressed through iterated integrals on (M)over-bar1,3

Publication type:
Journal article
Metadata:
Autoren
Autoren-URL
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000529319300001&DestLinkType=FullRecord&DestApp=WOS_CPL
DOI
10.1016/j.nuclphysb.2020.114991
eISSN
1873-1562
Externe Identifier
  • Clarivate Analytics Document Solution ID: LI2NA
ISSN
0550-3213
Zeitschrift
NUCLEAR PHYSICS B
Artikelnummer
ARTN 114991
Datum der Veröffentlichung
2020
Status
Published
Titel
The unequal mass sunrise integral expressed through iterated integrals on (<i>M</i>)over-bar<sub>1,3</sub>
Sub types
  • Article
Ausgabe der Zeitschrift
954

Data source: Web of Science (Lite)

Other metadata sources:
Autoren
DOI
10.1016/j.nuclphysb.2020.114991
ISSN
0550-3213
Zeitschrift
Nuclear Physics B
Sprache
en
Artikelnummer
114991
Paginierung
114991 - 114991
Datum der Veröffentlichung
2020
Status
Published
Herausgeber
Elsevier BV
Herausgeber URL
http://dx.doi.org/10.1016/j.nuclphysb.2020.114991
Datum der Datenerfassung
2022
Titel
The unequal mass sunrise integral expressed through iterated integrals on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="script">M</mml:mi></mml:mrow><mml:mo>‾</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math>
Ausgabe der Zeitschrift
954

Data source: Crossref

Abstract
We solve the two-loop sunrise integral with unequal masses systematically to all orders in the dimensional regularisation parameter $\varepsilon$. In order to do so, we transform the system of differential equations for the master integrals to an $\varepsilon$-form. The sunrise integral with unequal masses depends on three kinematical variables. We perform a change of variables to standard coordinates on the moduli space ${\mathcal M}_{1,3}$ of a genus one Riemann surface with three marked points. This gives us the solution as iterated integrals on $\overline{\mathcal M}_{1,3}$. On the hypersurface $\tau=\mbox{const}$ our result reduces to elliptic polylogarithms. In the equal mass case our result reduces to iterated integrals of modular forms.
Autoren
Autoren-URL
http://arxiv.org/abs/1907.01251v2
Schlüsselwörter
  • hep-th
  • hep-th
  • hep-ph
  • math-ph
  • math.MP
Notes
34 pages, v2: version to be published
Datum der Veröffentlichung
2019
Herausgeber URL
http://dx.doi.org/10.1016/j.nuclphysb.2020.114991
Datum der Datenerfassung
2019
Datum, an dem der Datensatz öffentlich gemacht wurde
2019
Titel
The unequal mass sunrise integral expressed through iterated integrals on $\overline{\mathcal M}_{1,3}$

Files

1907.01251v2.pdf

Data source: arXiv

Beziehungen:
Property of

Tools