One-loop pentagon integral with one off-shell leg in 6−2ε dimensions
نویسندگان
چکیده
منابع مشابه
General massive one-loop off-shell three-point functions
In this work we compute the most general massive one-loop off-shell three-point vertex in D-dimensions, where the masses, external momenta, and exponents of propagators are arbitrary. This follows our previous paper in which we have calculated several new hypergeometric series representations for massless and massive (with equal masses) scalar one-loop three-point functions, in the negative dim...
متن کاملOne Loop in Eleven Dimensions
Four-graviton scattering in eleven-dimensional supergravity is considered at one loop compactified on one, two and three-dimensional tori. The dependence on the toroidal geometry determines the known perturbative and non-perturbative terms in the corresponding processes in type II superstring theories in ten, nine and eight dimensions. The ultraviolet divergence must be regularized so that it h...
متن کاملThe one - loop pentagon to higher orders in ǫ
Abstract: We compute the one-loop scalar massless pentagon integral I6−2ǫ 5 in D = 6−2ǫ dimensions in the limit of multi-Regge kinematics. This integral first contributes to the parity-odd part of the one-loop N = 4 five-point MHV amplitude m 5 at O(ǫ). In the high energy limit defined by s ≫ s1, s2 ≫ −t1,−t2, the pentagon integral reduces to double sums or equivalently two-fold Mellin-Barnes i...
متن کاملAnalytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell
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 کاملOn one master integral for three-loop on-shell HQET propagator diagrams with mass
All three-loop on-shell HQET propagator integrals with a loop of a massive quark can be reduced to a set of master integrals, using integration by parts [1]. Some master integrals are known exactly, for other ones a few terms of ε expansions have been calculated [1]. In particular, for the integral I2, the 1/ε and O(1) terms are known. However, in some applications more terms of its ε expansion...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2017
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.95.036008