Advances at the $γ_5$-Frontier
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909249494319104 |
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| author | Kühler, Paul Stöckinger, Dominik Weißwange, Matthias |
| author_facet | Kühler, Paul Stöckinger, Dominik Weißwange, Matthias |
| contents | These proceedings discuss the current progress of the no-compromise approach to the dimensional renormalization of chiral gauge theories in the context of the BMHV scheme with non-anticommuting $γ_5$. Despite spuriously breaking BRST-invariance in intermediate steps, it is the only scheme which handles the well-known $γ_5$-problem mathematically consistently. We begin with a brief motivation, followed by an exposition of our methodology. Specifically, we illustrate the symmetry restoration procedure to obtain the required symmetry-restoring counterterms and provide insights into our computational setups, including recent developments. Building up on this, we present recent results and advances for the multi-loop renormalization of Abelian and non-Abelian chiral gauge theories, before concluding this article with a discussion on prospective implementations of the BMHV regularization in SM-like models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07247 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Advances at the $γ_5$-Frontier Kühler, Paul Stöckinger, Dominik Weißwange, Matthias High Energy Physics - Phenomenology These proceedings discuss the current progress of the no-compromise approach to the dimensional renormalization of chiral gauge theories in the context of the BMHV scheme with non-anticommuting $γ_5$. Despite spuriously breaking BRST-invariance in intermediate steps, it is the only scheme which handles the well-known $γ_5$-problem mathematically consistently. We begin with a brief motivation, followed by an exposition of our methodology. Specifically, we illustrate the symmetry restoration procedure to obtain the required symmetry-restoring counterterms and provide insights into our computational setups, including recent developments. Building up on this, we present recent results and advances for the multi-loop renormalization of Abelian and non-Abelian chiral gauge theories, before concluding this article with a discussion on prospective implementations of the BMHV regularization in SM-like models. |
| title | Advances at the $γ_5$-Frontier |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.07247 |