Evidence of collinear factorization breaking due to collinear-to-soft Glauber exchanges for a $2 \to 3$ exclusive process at leading twist
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| author | Nabeebaccus, Saad Schoenleber, Jakob Szymanowski, Lech Wallon, Samuel |
| author_facet | Nabeebaccus, Saad Schoenleber, Jakob Szymanowski, Lech Wallon, Samuel |
| contents | We exhibit an exclusive process, namely the photoproduction of a $π^{0}γ$ pair with large invariant mass, which violates collinear factorization. We explicitly demonstrate that this is due to the fact that there exists diagrams with gluon exchange in $t$ channel, contributing at the leading power, for which Glauber gluons are trapped. This is caused by the pinching of the contour integration of both the plus and minus light-cone components of the Glauber gluon momentum. We argue that this leads to the observed ``endpoint-like'' divergence of the convolution integral at leading order and leading power when collinear factorization is naïvely assumed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Evidence of collinear factorization breaking due to collinear-to-soft Glauber exchanges for a $2 \to 3$ exclusive process at leading twist Nabeebaccus, Saad Schoenleber, Jakob Szymanowski, Lech Wallon, Samuel High Energy Physics - Phenomenology Nuclear Theory We exhibit an exclusive process, namely the photoproduction of a $π^{0}γ$ pair with large invariant mass, which violates collinear factorization. We explicitly demonstrate that this is due to the fact that there exists diagrams with gluon exchange in $t$ channel, contributing at the leading power, for which Glauber gluons are trapped. This is caused by the pinching of the contour integration of both the plus and minus light-cone components of the Glauber gluon momentum. We argue that this leads to the observed ``endpoint-like'' divergence of the convolution integral at leading order and leading power when collinear factorization is naïvely assumed. |
| title | Evidence of collinear factorization breaking due to collinear-to-soft Glauber exchanges for a $2 \to 3$ exclusive process at leading twist |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2409.16067 |