Subleading Effects in Soft-Gluon Emission at One-Loop in Massive QCD
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910019593699328 |
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| author | Czakon, Michał Minguez, Kilian Erhard Eschment, Felix |
| author_facet | Czakon, Michał Minguez, Kilian Erhard Eschment, Felix |
| contents | We provide the last missing ingredient necessary to approximate one-loop amplitudes in QCD with massive quarks in the limit of vanishing energy of a single gluon up to terms suppressed by this energy. Our main result is a soft operator acting in color and spin space that manipulates the momenta of the hard partons while keeping them on-shell and respecting momentum conservation. Additionally, we provide a complete expression for the subleading term of the expansion of an arbitrary tree-level amplitude in the limit where the momenta of a massless quark and a massless anti-quark of the same flavor become collinear. This limit is necessary to obtain the one-loop soft approximation whenever the process involves such a quark-anti-quark pair. Interestingly, the result involves a high-energy limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Subleading Effects in Soft-Gluon Emission at One-Loop in Massive QCD Czakon, Michał Minguez, Kilian Erhard Eschment, Felix High Energy Physics - Phenomenology We provide the last missing ingredient necessary to approximate one-loop amplitudes in QCD with massive quarks in the limit of vanishing energy of a single gluon up to terms suppressed by this energy. Our main result is a soft operator acting in color and spin space that manipulates the momenta of the hard partons while keeping them on-shell and respecting momentum conservation. Additionally, we provide a complete expression for the subleading term of the expansion of an arbitrary tree-level amplitude in the limit where the momenta of a massless quark and a massless anti-quark of the same flavor become collinear. This limit is necessary to obtain the one-loop soft approximation whenever the process involves such a quark-anti-quark pair. Interestingly, the result involves a high-energy limit. |
| title | Subleading Effects in Soft-Gluon Emission at One-Loop in Massive QCD |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.21655 |