Cancellation of Infrared Divergences in $e^{+}e^{-}\rightarrow q\bar{q}g$ in Light Front Coherent State Formalism
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910770113019904 |
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| author | Bhamre, Deepesh Gogia, Shrey Misra, Anuradha |
| author_facet | Bhamre, Deepesh Gogia, Shrey Misra, Anuradha |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19188 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cancellation of Infrared Divergences in $e^{+}e^{-}\rightarrow q\bar{q}g$ in Light Front Coherent State Formalism Bhamre, Deepesh Gogia, Shrey Misra, Anuradha High Energy Physics - Phenomenology High Energy Physics - Theory 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. |
| title | Cancellation of Infrared Divergences in $e^{+}e^{-}\rightarrow q\bar{q}g$ in Light Front Coherent State Formalism |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.19188 |