Cancellation of Infrared Divergences in $e^{+}e^{-}\rightarrow q\bar{q}g$ in Light Front Coherent State Formalism

Deepesh Bhamre; Shrey Gogia; Anuradha Misra

doi:10.1103/physrevd.111.016001

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arXiv · 2410.19188

Cancellation of Infrared Divergences in $e^{+}e^{-}\rightarrow q\bar{q}g$ in Light Front Coherent State Formalism

Deepesh Bhamre·Shrey Gogia·Anuradha Misra

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Abstract

We address the issue of cancellation of infrared (IR) divergences at the amplitude level in Light Front Quantum Chromodynamics (LFQCD) using the coherent state formalism. We consider the process $e^{+}e^{-}\rightarrow q\bar{q}g$ upto $\mathcal{O}(g^3)$ in light-cone-time-ordered Hamiltonian perturbation theory and show that IR divergences in S-matrix elements appear due to vanishing energy denominators. We construct the coherent state formalism for LFQCD and explicitly show that these divergences are cancelled when a coherent state basis is used for calculating the S-matrix elements.

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Deepesh Bhamre, Shrey Gogia, Anuradha Misra. 2024-10-24. Cancellation of Infrared Divergences in $e^{+}e^{-}\rightarrow q\bar{q}g$ in Light Front Coherent State Formalism. https://doi.org/10.1103/physrevd.111.016001

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