About higher order ε - expansion of some massive two - and three - loop master - integrals
نویسنده
چکیده
For certain dimensionally-regulated massive twoand three-loop propagator-type diagrams the higher order ε-expansion is constructed.
منابع مشابه
On 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 کاملar X iv : h ep - p h / 99 10 22 3 v 3 1 2 Ja n 20 01
Single mass scale diagrams: construction of a basis for the ε-expansion. Abstract Exploring the idea of Broadhurst on the " sixth root of unity " we present an ansatz for construction of a basis of transcendental numbers for the ε-expansion of single mass scale diagrams with two particle massive cut. As example, several new two-and three-loop master integrals are calculated.
متن کاملFour Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
We present numerical results which are needed to evaluate all nontrivial master integrals for four-loop massless propagators, confirming the recent analytic results of [1] and evaluating an extra order in ε expansion for each master integral. E-mail: [email protected] E-mail: [email protected]
متن کاملSpecial Case of Sunset: Reduction and Ε-expansion
We consider two loop sunset diagrams with two mass scales m and M at the threshold and pseudotreshold that cannot be treated by earlier published formula. The complete reduction to master integrals is given. The master integrals are evaluated as series in ratio m/M and in ε with the help of differential equation method. The rules of asymptotic expansion in the case when q 2 is at the (pseudo)th...
متن کاملThree-loop on-shell Feynman integrals with two masses
All three-loop on-shell QCD Feynman integrals with two masses can be reduced to 27 master integrals. Here we calculate these master integrals, expanded in ε, both exactly in the mass ratio and as series in limiting cases.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005