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arXiv · 2206.06933

Infrared Divergences in $e^{+}e^{-}\rightarrow 2\; jets$ in the Light Front Coherent State Formalism

Deepesh Bhamre·Anuradha Misra
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Abstract

We study infrared (IR) divergences in light front quantum chromodynamics using a coherent state basis in light front time-ordered Hamiltonian perturbation theory. In computation of the S-matrix elements in Hamiltonian formalism, the IR divergences appear in the form of vanishing energy denominators. We consider the process $e^{+}e^{-}\rightarrow 2\; jets$ at $\mathcal{O}(g^{2})$ in strong coupling, construct the coherent state representing the outgoing particles, and explicitly show that the `true' IR divergences cancel to this order when the matrix elements are calculated between coherent states instead of Fock states.

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Deepesh Bhamre, Anuradha Misra. 2022-06-14. Infrared Divergences in $e^{+}e^{-}\rightarrow 2\; jets$ in the Light Front Coherent State Formalism. https://doi.org/10.1103/physrevd.107.014001

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