We compute the (three) master integrals for the crossed ladder diagram with two exchanged quanta of equal mass. The differential equations obeyed by the master in- tegrals are used to generate power series expansions centered around all the singular (plus some regular) points, which are then matched numerically with high accuracy. The expansions allow a fast and precise numerical calculation of the three master integrals (better than 15 digits with less than 30 terms in the whole real axis). A con- spicuous relation with the equal-mass sunrise in two dimensions is found. Comparison with a previous large momentum expansion is made finding complete agreement.
The two loop crossed ladder vertex diagram with two massive exchanges / BONCIANI, ROBERTO; L. GRASSI; E. REMIDDI; AGLIETTI, Ugo Giuseppe. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - STAMPA. - 789:(2008), pp. 45-83. [10.1016/j.nuclphysb.2007.07.019]
The two loop crossed ladder vertex diagram with two massive exchanges
BONCIANI, ROBERTO;
2008
Abstract
We compute the (three) master integrals for the crossed ladder diagram with two exchanged quanta of equal mass. The differential equations obeyed by the master in- tegrals are used to generate power series expansions centered around all the singular (plus some regular) points, which are then matched numerically with high accuracy. The expansions allow a fast and precise numerical calculation of the three master integrals (better than 15 digits with less than 30 terms in the whole real axis). A con- spicuous relation with the equal-mass sunrise in two dimensions is found. Comparison with a previous large momentum expansion is made finding complete agreement.File | Dimensione | Formato | |
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