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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.16691 |
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| _version_ | 1866910142809767936 |
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| author | Brod, Joachim Stamou, Emmanuel Steudtner, Tom |
| author_facet | Brod, Joachim Stamou, Emmanuel Steudtner, Tom |
| contents | We calculate the anomalous dimension of the $|ΔS| = 1$ current-current operators of the weak effective Lagrangian at next-to-next-to-next-to-leading order (NNNLO) in QCD. This constitutes the first step towards a full four-loop calculation of the QCD correction to $ε_K$, the measure for indirect CP violation in the neutral kaon system. We present fully analytic results, together with the expressions necessary to transform our results to a basis with an arbitrary different definition of evanescent operators. As an application, we calculate the corresponding results in the ``standard'' operator basis used in $B$ physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16691 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Four-loop QCD mixing of current-current operators Brod, Joachim Stamou, Emmanuel Steudtner, Tom High Energy Physics - Phenomenology We calculate the anomalous dimension of the $|ΔS| = 1$ current-current operators of the weak effective Lagrangian at next-to-next-to-next-to-leading order (NNNLO) in QCD. This constitutes the first step towards a full four-loop calculation of the QCD correction to $ε_K$, the measure for indirect CP violation in the neutral kaon system. We present fully analytic results, together with the expressions necessary to transform our results to a basis with an arbitrary different definition of evanescent operators. As an application, we calculate the corresponding results in the ``standard'' operator basis used in $B$ physics. |
| title | Four-loop QCD mixing of current-current operators |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2604.16691 |