Reduction and evaluation of two-loop graphs with arbitrary masses
A. Ghinculov, Y. -P. Yao
Abstract
We describe a general analytic-numerical reduction scheme for evaluating any 2-loop diagrams with general kinematics and general renormalizable interactions, whereby ten special functions form a complete set after tensor reduction. We discuss the symmetrical analytic structure of these special functions in their integral representation, which allows for optimized numerical integration. The process Z -> bb is used for illustration, for which we evaluate all the 3-point, non-factorizable g2*alphas mixed electroweak-QCD graphs, which depend on the top quark mass. The isolation of infrared singularities is detailed, and numerical results are given for all two-loop three-point graphs involved in this process.
Create a lesson
Related papers
The LZ inelastic splitting as a probe of anomaly mediation
Seung J. Lee, Taewook Youn
Precision Tokenization for Multi-Modal Data in High Energy Physics
Jeffrey Krupa, Samuel Klein, Nilotpal Kakati et al.
Complete four-loop pressure of cold QED
Aapeli Kärkkäinen, Pablo Navarrete, Mika Nurmela et al.
Long-Distance Contributions to Light Vector Mesons and Radiative Decays of ηc
Xiao-Yu Qi, Qi Wu, Dian-Yong Chen
Utilizing Neural Networks for Solving Functional Renormalization Group Flow Equations
J. Gurzó, G. Fejős
ALP interactions with mesons and baryons at O(1/fa): a general field redefinition invariant approach
Jorge Alda, Stefano Rigolin