The completely general one-loop scalar one-, two-, three- and four-point functions are studied. Also an integral occurring in connection with soft bremsstrahlung is considered. Formulas in terms of Spence functions are given. An expansion for Spence functions with complex argument is presented. ...
We report on the results of an ongoing calculation of massive scalar one-loop one-, two-, three- and four-point integrals up to O ( ɛ 2 ) which are needed in the NNLO calculation of heavy hadron production.JürgenG.Körnerand
Shimizu, Precise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence, in proceedings of ACAT2007, PoS(ACAT)087.F. Yuasa, E. de Doncker, J. Fujimoto, N. Hamaguchi, T. Ishikawa, and Y. Simizu, "Precise Numerical Evaluation of the Scalar One-Loop Integrals with...
Scalar one-loop 4-point integrals A. Denner 1 and S. Dittmaier 2 1Ch, VilligenPsi, Villigen
Scalar one-loop integrals Scalar expectancy and Weber''s law in animal timing Optimality and non-scalar-valued performance criteria Geometrical realization of scalar electrodynamics Design of multiple description scalar quantizers Dataflow analysis of array and scalar references ...
QCDLoop: an object-oriented one-loop scalar Feynman integrals framework General information Homepage with library description: https://qcdloop.web.cern.ch If you use this code in your publication, please cite arXiv:0712.1851 and arXiv:1605.03181. Download You can obtain QCDLoop releases directly ...
Nonetheless, we would like to emphasize that the three eliminated contributions (Feynman diagrams with one-point scalar Feynman integrals, diagrams with internal EW gauge bosons and the wave-functions renormalization) must be included if the calculation is required to account also for subleading ...
(φ L , φ H , ψ L , ψ H ) λ˜ abcd = λabcd − x∈{φ H } s,t,u κabx κxcd Mx2 + δλabcd (φ L , φ H , ψ L , ψ H ), (10) (11) where the one-loop contributions δ X are computed using modified loop integrals where the IR divergent pieces have ...
Finally all remaining integrals can be reduced by recursion [5] to bubble-integrals of the type V αβγ ({m}) = d d k 1 d d k 2 (k 2 1 −m 2 1 ) α (k 2 2 −m 2 2 ) β ((k 1 −k 2 ) 2 −m 2 3 ) γ , (6) or to factorizing one-loop integrals.Th...
3 and 4. With the reviews of the BFM and physical state reduction, we will be ready for the explicit implementation of the one-loop renormalization of the gravity-scalar system; in Sect. 3 we embark on a one-loop analysis of the scalar-gravity system. Renormalizability is established with...