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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.00706 |
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| _version_ | 1866910900872544256 |
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| author | Goswami, Rakshanda Talukdar, Pulak Das, Bhoomika Raha, Udit Myhrer, Fred |
| author_facet | Goswami, Rakshanda Talukdar, Pulak Das, Bhoomika Raha, Udit Myhrer, Fred |
| contents | We present an improved evaluation of the two-photon exchange correction to the unpolarized lepton-proton elastic scattering process at very low-energies relevant to the MUSE experiment, where only the dominant intermediate elastic proton is considered. We employ the framework of heavy baryon chiral perturbation theory and invoke the soft-photon approximation in order to reduce the intricate 4-point loop-integrals into simpler 3-point loop-integrals. In the present work, we adopt a more robust methodology compared to an earlier work along the same lines for analytically evaluating the loop-integrations, and incorporate important corrections at next-to-next-to-leading order. These include the proton's structure effects which renormalize the proton-photon interaction vertices and the proton's propagator. Finally, our results allow a model-independent estimation of the charge asymmetry for the scattering of unpolarized massive leptons and anti-leptons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00706 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lepton-proton two-photon exchange with improved soft-photon approximation including proton's structure effects in HB$χ$PT Goswami, Rakshanda Talukdar, Pulak Das, Bhoomika Raha, Udit Myhrer, Fred High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We present an improved evaluation of the two-photon exchange correction to the unpolarized lepton-proton elastic scattering process at very low-energies relevant to the MUSE experiment, where only the dominant intermediate elastic proton is considered. We employ the framework of heavy baryon chiral perturbation theory and invoke the soft-photon approximation in order to reduce the intricate 4-point loop-integrals into simpler 3-point loop-integrals. In the present work, we adopt a more robust methodology compared to an earlier work along the same lines for analytically evaluating the loop-integrations, and incorporate important corrections at next-to-next-to-leading order. These include the proton's structure effects which renormalize the proton-photon interaction vertices and the proton's propagator. Finally, our results allow a model-independent estimation of the charge asymmetry for the scattering of unpolarized massive leptons and anti-leptons. |
| title | Lepton-proton two-photon exchange with improved soft-photon approximation including proton's structure effects in HB$χ$PT |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2504.00706 |