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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 | ||
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| + | 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: | ||
| + | | | | ||