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• W2954229826 endingPage "114991" @default.
• W2954229826 startingPage "114991" @default.
• W2954229826 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." @default.
• W2954229826 created "2019-07-12" @default.
• W2954229826 creator A5030657938 @default.
• W2954229826 creator A5037659315 @default.
• W2954229826 creator A5086865615 @default.
• W2954229826 date "2020-05-01" @default.
• W2954229826 modified "2023-10-03" @default.
• W2954229826 title "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>" @default.
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• W2954229826 doi "https://doi.org/10.1016/j.nuclphysb.2020.114991" @default.
• W2954229826 hasPublicationYear "2020" @default.
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