8 v 1 1 9 M ay 1 99 8 DFUB 98 - 5 TP - USL / 98 / 4 May 1998 The Master Differential Equations for the 2 - loop Sunrise

نویسنده

  • E. Remiddi
چکیده

The master differential equations in the external square momentum p2 for the master integrals of the two-loop sunrise graph, in n-continuous dimensions and for arbitrary values of the internal masses, are derived. The equations are then used for working out the values at p2 = 0 and the expansions in p2 at p2 = 0, in (n− 4) at n → 4 limit and in 1/p2 for large values of p2. ——————————PACS 11.10.-z Field theory PACS 11.10.Kk Field theories in dimensions other than four PACS 11.15.Bt General properties of perturbation theory Partly supported by the Polish Committee for Scientific Research under grant no 2P03B17708.

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/ 98 05 11 8 v 2 1 7 Ju l 1 99 8 DFUB 98 - 5 TP - USL / 98 / 4 May 1998 The Master Differential Equations for the 2 - loop Sunrise

The master differential equations in the external square momentum p2 for the master integrals of the two-loop sunrise graph, in n-continuous dimensions and for arbitrary values of the internal masses, are derived. The equations are then used for working out the values at p2 = 0 and the expansions in p2 at p2 = 0, in (n− 4) at n → 4 limit and in 1/p2 for large values of p2. ——————————PACS 11.10....

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ar X iv : h ep - p h / 99 05 24 9 v 2 1 2 M ay 1 99 9 BI - TP 99 / 12 Two - loop self - energy master integrals on shell

Analytic results for the complete set of two-loop self-energy master integrals on shell with one mass are calculated.

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تاریخ انتشار 1998