Classifying Feynman Diagrams into Conformal Families
A method showing that momentum-space Feynman diagrams with internal massless fields can be recast exactly as conformal integrals. This organizes all such diagrams into 'conformal families,' each labelled by a single conformal integral: evaluating that one integral yields every diagram in the family in closed form. Applying known exact conformal-integral results then delivers solutions to many previously uncomputed diagrams — for both finite and dimensionally regularized cases, to all orders in the regularization parameter.
2501.00101
We show that momentum space Feynman diagrams involving internal massless fields can be cast as conformal integrals. This leads to a classification of all Feynman diagrams into conformal families, lab…