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 $x=0$. 
P. Mastrolia (1 and 2), E. Remiddi (1 and 3) ((1) University of   Bologna, (2) University of Karlsruhe, (3) INFN-Bologna)