Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-07-16
Nucl.Phys. B566 (2000) 469-485
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 16 pages; misprints in ff. (8), (24), (30) corrected; some explanations added
Scientific paper
We present an algorithm for the analytical evaluation of dimensionally regularized massless on-shell double box Feynman diagrams with arbitrary polynomials in numerators and general integer powers of propagators. Recurrence relations following from integration by parts are solved explicitly and any given double box diagram is expressed as a linear combination of two master double boxes and a family of simpler diagrams. The first master double box corresponds to all powers of the propagators equal to one and no numerators, and the second master double box differs from the first one by the second power of the middle propagator. By use of differential relations, the second master double box is expressed through the first one up to a similar linear combination of simpler double boxes so that the analytical evaluation of the first master double box provides explicit analytical results, in terms of polylogarithms $\Li{a}{-t/s}$, up to $a=4$, and generalized polylogarithms $S_{a,b}(-t/s)$, with $a=1,2$ and $b=2$, dependent on the Mandelstam variables $s$ and $t$, for an arbitrary diagram under consideration.
Smirnov Vladimir A.
Veretin Oleg L.
No associations
LandOfFree
Analytical Results for Dimensionally Regularized Massless On-shell Double Boxes with Arbitrary Indices and Numerators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Analytical Results for Dimensionally Regularized Massless On-shell Double Boxes with Arbitrary Indices and Numerators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical Results for Dimensionally Regularized Massless On-shell Double Boxes with Arbitrary Indices and Numerators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-162753