Differences

This shows you the differences between two versions of the page.

Link to this comparison view

preprints:2002:ttp02-39 [2016/03/17 11:03] (current)
Line 1: Line 1:
 +====== TTP02-39 The analytic value of a 3-loop sunrise graph in a particular kinematical configuration ====== 
 +  
 +  
 +   <​hidden TTP02-39 ​ The analytic value of a 3-loop sunrise graph in a particular kinematical configuration > We consider the scalar integral associated to the 3-loop sunrise graph 
 + with a massless line, two massive lines of equal mass $M$, a fourth line of 
 + mass equal to $Mx$, and the external invariant timelike and equal to the 
 + ​square of the fourth mass. We write the differential equation in $x$ 
 + ​satisfied by the integral, expand it in the continuous dimension $d$ 
 + ​around $d=4$ and solve the system of the resulting chained differential 
 + ​equations in closed analytic form, expressing the solutions in terms of 
 + ​Harmonic Polylogarithms. As a byproduct, we give the limiting values of 
 + the coefficients of the $(d-4)$ expansion at $x=1$ and $x=0$. 
 + </​hidden>​ 
 +|**P. Mastrolia, E. Remiddi** ​ |  
 +|**  Nucl.Phys.B ​ 657 397-406 2003  **  | 
 +| {{preprints:​2002:​ttp02-39.pdf|PDF}} {{preprints:​2002:​ttp02-39.ps|PostScript}} [[http://​arxiv.org/​abs/​hep-ph/​0211451|arXiv]] ​  | 
 +| |