Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell
نویسنده
چکیده
The dimensionally regularized massless non-planar double box Feyn-man diagram with powers of propagators equal to one, one leg off the mass shell, i.e. with p 2 1 = q 2 = 0, and three legs on shell, p 2 i = 0, i = 2, 3, 4, is analytically calculated for general values of q 2 and the Man-delstam 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 .
منابع مشابه
The Leading Power Regge Asymptotic Behaviour of Dimensionally Regularized Massless On-Shell Planar Triple Box
The leading power asymptotic behaviour of the dimensionally regularized massless on-shell planar triple box diagram in the Regge limit t/s → 0 is analytically evaluated. E-mail: [email protected] Systematical analytical evaluation of two-loop Feynman diagrams with four external lines within dimensional regularization [1] began three years ago. In the pure massless case with all end-poi...
متن کاملAnalytical Result for Dimensionally Regularized
The dimensionally regularized massless non-planar double box Feyn-man diagram with powers of propagators equal to one, one leg off the mass shell, i.e. with p 2 1 = q 2 = 0, and three legs on shell, p 2 i = 0, i = 2, 3, 4, is analytically calculated for general values of q 2 and the Man-delstam variables s, t and u (not necessarily restricted by the physical condition s + t + u = q 2). An expli...
متن کاملAnalytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
The dimensionally regularized master planar double box Feynman diagram with four massive and three massless lines, powers of propagators equal to one, all four legs on the mass shell, i.e. with pi = m , i = 1, 2, 3, 4, is analytically evaluated for general values of m and the Mandelstam variables s and t. An explicit result is expressed in terms of polylogarithms, up to the third order, dependi...
متن کاملEvaluating double and triple (?) boxes
A brief review of recent results on analytical evaluation of double-box Feynman integrals is presented. First steps towards evaluation of massless on-shell triple-box Feynman integrals within dimensional regularization are described. The leading power asymptotic behaviour of the dimensionally regularized massless on-shell master planar triple-box diagram in the Regge limit t/s → 0 is evaluated....
متن کاملAnalytical Results for Dimensionally Regularized Massless On-shell Double Boxes with Arbitrary Indices and Numerators
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 fa...
متن کامل