One-loop impact factors for heavy quarkonium production: S-wave case
Abstract With the aim to extend the study of inclusive heavy quarkonium production at forward rapidities with the resummation of high partonic center-of-momentum-energy logarithms beyond Leading Logarithmic Approximation (LLA), the explicit analytic results for one-loop corrections to the following...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)129 |
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| Summary: | Abstract With the aim to extend the study of inclusive heavy quarkonium production at forward rapidities with the resummation of high partonic center-of-momentum-energy logarithms beyond Leading Logarithmic Approximation (LLA), the explicit analytic results for one-loop corrections to the following impact factors had been obtained: γR → Q Q ¯ S 1 0 8 $$ Q\overline{Q}\ \left[{^1S}_0^{\left[8\right]}\right] $$ , gR → Q Q ¯ S 1 0 1 $$ Q\overline{Q}\ \left[{^1S}_0^{\left[1\right]}\right] $$ , gR → Q Q ¯ S 1 0 8 $$ Q\overline{Q}\ \left[{^1S}_0^{\left[8\right]}\right] $$ and gR → Q Q ¯ S 3 1 8 $$ Q\overline{Q}\ \left[{^3S}_1^{\left[8\right]}\right] $$ , with R being the Reggeized gluon and Q is the heavy quark. The computation is done in the framework of Lipatov’s gauge-invariant EFT for Multi-Regge processes in QCD with the tilted-Wilson-line regularisation for rapidity divergences. As expected, only single-logarithmic rapidity divergence proportional to the one-loop Regge trajectory of a gluon remains in the final result for impact-factors. Numerical comparison with Regge limits (s/(–t) ≫ 1) of one-loop QCD amplitudes, described in the paper, provides a strong cross-check of obtained results. The relations of obtained results with other regularisation schemes for rapidity divergences used in low-x physics, such as BFKL scheme, High-Energy Factorisation (HEF) scheme and shockwave scheme, are given. |
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| ISSN: | 1029-8479 |