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+ | ====== TTP02-01 The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass ====== | ||
+ | |||
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+ | <hidden TTP02-01 | ||
+ | | ||
+ | third mass $m$ in the usual $d$-continuous dimensional regularization. | ||
+ | We write a second order differential equation for the amplitude | ||
+ | in $x=m/M$ and show as solve it in close analytic form. As a result, | ||
+ | all the coefficients of the Laurent expansion in $(d-4)$ | ||
+ | of the amplitude are expressed in terms of harmonic polylogarithms of | ||
+ | | ||
+ | the explicit analytic expressions of the value of the amplitude at | ||
+ | | ||
+ | equal mass case, up to the $(d-4)^5$ term included. | ||
+ | </ | ||
+ | |**M. Argeri, P. Mastrolia, E. Remiddi** | ||
+ | |** Nucl.Phys.B | ||
+ | | {{preprints: | ||
+ | | | |