Institute for Theoretical Particle Physics (TTP)

TTP00-24 Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell

TTP00-24 Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell

TTP00-24 Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell

The dimensionally regularized massless non-planar double box Feynman diagram with powers of propagators equal to one, one leg off the mass shell, i.e. with p_1^2=q^2\neq 0, and three legs on shell, p_i^2=0, i=2,3,4, is analytically calculated for general values of q^2 and the Mandelstam variables s,t and u (not necessarily restricted by the physical condition s+t+u=q^2). An explicit result is expressed through (generalized) polylogarithms, up to the fourth order, dependent on rational combinations of q^2,s,t and u, and simple finite two- and three fold Mellin–Barnes integrals of products of gamma functions which are easily numerically evaluated for arbitrary non-zero values of the arguments.

V.A. Smirnov
Phys. Lett. B500 330-337 2001
PDF PostScript arXiv
This website uses cookies. By using the website, you agree with storing cookies on your computer. Also you acknowledge that you have read and understand our Privacy Policy. If you do not agree leave the website.More information about cookies