Infrared-Finite Amplitudes for Massless Gauge Theories

Abstract

We present a method to construct infrared-finite amplitudes for gauge theories with massless fermions. Rather than computing $S$-matrix elements between usual states of the Fock space we construct order-by-order in perturbation theory dressed states that incorporate all long-range interactions. The $S$-matrix elements between these states are shown to be free from soft and collinear singularities. As an explicit example we consider the process $e^{+}{e}^{-}\to 2$ jets at next-to-leading order in the strong coupling. We verify by explicit calculation that the amplitudes are infrared finite and recover the well-known result for the total cross section $e^{+}{e}^{-}\to$ hadrons.

arXiv comment46 pages

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Cited by in corpus (13)

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• Collinearity, convergence and cancelling infrared divergences
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• Implications of Superrotations
• Asymptotic Charges and Coherent States in QCD
• Exposing the threshold structure of loop integrals
• Infrared finite scattering theory: Amplitudes and soft theorems
• A Finite $S$-Matrix
• Cancellation of Infrared Divergences in $e^{+}{e}^{-}\to q\bar{q}g$ in Light Front Coherent State Formalism
• Multi-loop calculations: numerical methods and applications
• Fock-space projection operators for semi-inclusive final states
• Infrared Divergences in $e^{+}{e}^{-}\to 2jets$ in the Light Front Coherent State Formalism
• Clothed particle representation in quantum field theory: Fermion mass renormalization due to vector boson exchange