کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9855179 | 1527870 | 2005 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Analytic treatment of the two loop equal mass sunrise graph
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
The two loop equal mass sunrise graph is considered in the continuous d-dimensional regularisation for arbitrary values of the momentum transfer. After recalling the equivalence of the expansions at d=2 and d=4, the second order differential equation for the scalar master integral is expanded in (dâ2) and solved by the variation of the constants method of Euler up to first order in (dâ2) included. That requires the knowledge of the two independent solutions of the associated homogeneous equation, which are found to be related to the complete elliptic integrals of the first kind of suitable arguments. The behaviour and expansions of all the solutions at all the singular points of the equation are exhaustively discussed and written down explicitly.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 704, Issues 1â2, 3 January 2005, Pages 349-386
Journal: Nuclear Physics B - Volume 704, Issues 1â2, 3 January 2005, Pages 349-386
نویسندگان
S. Laporta, E. Remiddi,