The authors present the finite two-loop fermionic virtual corrections to the Drell-Yan cross section after renormalization and infrared subtraction using an automated methodology.
Dyson summation without violating Ward identities and the Goldstone-boson equivalence theorem
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abstract
In contrast to the conventional treatment of gauge theories, in the background-field method the Ward identities for connected Green functions are not violated by Dyson summation of self-energies in finite orders of perturbation theory. Thus, Dyson summation does not spoil gauge cancelations at high energies which are ruled by the Goldstone-boson equivalence theorem. Moreover, in the background-field method the precise formulation of the equivalence theorem in higher orders (including questions of renormalization) is simplified rendering actual calculations easier. Finally, the equivalence theorem is also formulated for the Standard Model with a non-linearly realized scalar sector and for the gauged non-linear $\sigma$-model.
fields
hep-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Authors formulate prescriptions for KLN cancellations of t-channel divergences in an unstable-particle model, showing scheme-independent results and steps toward finite inclusive observables.
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The authors present the finite two-loop fermionic virtual corrections to the Drell-Yan cross section after renormalization and infrared subtraction using an automated methodology.
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Unitarity Cuts, t-channel Divergences and the KLN Theorem for Unstable Particles
Authors formulate prescriptions for KLN cancellations of t-channel divergences in an unstable-particle model, showing scheme-independent results and steps toward finite inclusive observables.