Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911089161142272 |
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| author | Liu, Yizhuang |
| author_facet | Liu, Yizhuang |
| contents | We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the exponential regulator allows Euclidean-type parametric representations without cuts, to all orders in perturbation theory. Moreover, it is identical to another soft factor defined with a single time-ordering that has a natural interpretation as a space-like form factor. Furthermore, this relation continues to hold for a larger class of TMD soft factors that interpolate between three different rapidity regulators: the off-light-cone regulator, the finite light-front length regulator, and the exponential regulator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05957 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities Liu, Yizhuang High Energy Physics - Phenomenology High Energy Physics - Theory We show that as a result of causality-constrained coordinate space analyticity, the Drell-Yan-shape transverse-momentum dependent soft factor in the exponential regulator allows Euclidean-type parametric representations without cuts, to all orders in perturbation theory. Moreover, it is identical to another soft factor defined with a single time-ordering that has a natural interpretation as a space-like form factor. Furthermore, this relation continues to hold for a larger class of TMD soft factors that interpolate between three different rapidity regulators: the off-light-cone regulator, the finite light-front length regulator, and the exponential regulator. |
| title | Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.05957 |