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  "authors": [
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      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Physik, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, Germany"
        }
      ], 
      "surname": "Bogner", 
      "given_names": "Christian", 
      "full_name": "Bogner, Christian"
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Mathematik, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, Germany"
        }
      ], 
      "surname": "M\u00fcller-Stach", 
      "given_names": "Stefan", 
      "full_name": "M\u00fcller-Stach, Stefan"
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Physik, Johannes Gutenberg-Universit\u00e4t Mainz, Mainz, Germany"
        }
      ], 
      "surname": "Weinzierl", 
      "email": "weinzierl@uni-mainz.de", 
      "full_name": "Weinzierl, Stefan", 
      "given_names": "Stefan"
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  "titles": [
    {
      "source": "Elsevier", 
      "title": "The unequal mass sunrise integral expressed through iterated integrals on"
    }
  ], 
  "collections": [
    {
      "primary": "Nuclear Physics B"
    }
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  "publication_info": [
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      "journal_volume": "954 C", 
      "journal_title": "Nuclear Physics B", 
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      "artid": "114991", 
      "year": 2020
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  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "We solve the two-loop sunrise integral with unequal masses systematically to all orders in the dimensional regularisation parameter \u03b5. In order to do so, we transform the system of differential equations for the master integrals to an \u03b5-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 <math><msub><mrow><mi>M</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>3</mn></mrow></msub></math> of a genus one Riemann surface with three marked points. This gives us the solution as iterated integrals on <math><msub><mrow><mover><mrow><mi>M</mi></mrow><mo>\u203e</mo></mover></mrow><mrow><mn>1</mn><mo>,</mo><mn>3</mn></mrow></msub></math>. On the hypersurface <math><mi>\u03c4</mi><mo>=</mo><mtext>const</mtext></math> our result reduces to elliptic polylogarithms. In the equal mass case our result reduces to iterated integrals of modular forms."
    }
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      "date": "2020-03-12", 
      "publisher": "Elsevier"
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