The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
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DOI:
10.1063/1.4896563
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发表时间:
2014-05
期刊:
arXiv: High Energy Physics - Phenomenology
影响因子:
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通讯作者:
Luise Adams;C. Bogner;S. Weinzierl
Luise Adams;C. Bogner;S. Weinzierl
中科院分区:
其他
文献类型:
--
作者:
Luise Adams;C. Bogner;S. Weinzierl

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我们用椭圆双对数的形式给出了两个时空维中具有任意非零质量的双环日出积分。我们发现,结果的结构与等质量情形一样简单优美,只是对椭圆型方程的辐角作了修改。这些论点有一个很好的几何解释。
We present the two-loop sunrise integral with arbitrary non-zero masses in two space-time dimensions in terms of elliptic dilogarithms. We find that the structure of the result is as simple and elegant as in the equal mass case, only the arguments of the elliptic dilogarithms are modified. These arguments have a nice geometric interpretation.