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Cancellation of infrared (IR) divergences at the amplitude-level for scattering processes can be achieved using the coherent state formalism. We consider the process \(e^{+}e^{-}\rightarrow q\bar{q}g\)  at \(\mathcal {O}(g^3)\) in the light-front time-ordered Hamiltonian perturbation theory, and using the coherent state formalism, show the amplitude-level cancellation of these divergences to obtain an IR-finite scattering amplitude.

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Amplitude-Level Cancellation of Infrared Divergences in  \(e^{+}e^{-}\rightarrow q\bar{q}g\)

  • 会议论文

  • 发表日期：

    2025年

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  • Deepesh Bhamre,
  • Shrey Gogia,
  • Anuradha Misra

摘要

Cancellation of infrared (IR) divergences at the amplitude-level for scattering processes can be achieved using the coherent state formalism. We consider the process \(e^{+}e^{-}\rightarrow q\bar{q}g\)  at \(\mathcal {O}(g^3)\) in the light-front time-ordered Hamiltonian perturbation theory, and using the coherent state formalism, show the amplitude-level cancellation of these divergences to obtain an IR-finite scattering amplitude.