کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8186029 | 1528100 | 2010 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dimensional recurrence relations: an easy way to evaluate higher orders of expansion in ε
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک هسته ای و انرژی بالا
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Applications of a method recently suggested by one of the authors (R.L.) are presented. This method is based on the use of dimensional recurrence relations and analytic properties of Feynman integrals as functions of the parameter of dimensional regularization, d. The method was used to obtain analytical expressions for two missing constants in the ε-expansion of the most complicated master integrals contributing to the three-loop massless quark and gluon form factors and thereby present the form factors in a completely analytic form. To illustrate its power we present, at transcendentality weight seven, the next order of the ε-expansion of one of the corresponding most complicated master integrals. As a further application, we present three previously unknown terms of the expansion in ε of the three-loop non-planar massless propagator diagram. Only multiple ζ values at integer points are present in our result.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Proceedings Supplements - Volumes 205â206, AugustâSeptember 2010, Pages 308-313
Journal: Nuclear Physics B - Proceedings Supplements - Volumes 205â206, AugustâSeptember 2010, Pages 308-313
نویسندگان
Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov,