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A massive Feynman integral and some reduction relations for Appell functions

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 نشر من قبل Mykola Shpot
 تاريخ النشر 2007
  مجال البحث فيزياء
والبحث باللغة English
 تأليف M. A. Shpot




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New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses $m_1^2$ and $m_2^2$ in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the masses $m_i^2$. Equating our expressions with previously known results in terms of Gauss hypergeometric functions yields reduction relations for the involved Appell functions that are apparently new mathematical results.



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