The Tau Lepton Mass from Asymptotic Safety
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Zenodo
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| Natura: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901496229003264 |
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| author | Burch, Brian |
| author_facet | Burch, Brian |
| contents | <p>We extend the Asymptotic Safety (AS) prediction programme to the tau lepton sector. The<br>critical exponent θ(yτ) = +0.01129 is computed at the R4 truncation level via the structural<br>ratio method, calibrated against the established θ(yt) = 0.01170 result. θ(yτ) > 0 is<br>confirmed, establishing that the tau Yukawa coupling is UV-relevant at the NGFP — the<br>same status as the top Yukawa. The predicted tau lepton mass, mτ = 1631.8 ± 175.7 MeV,<br>is consistent with the observed 1776.86 MeV at pull = −0.83σ. The 8.2% residual is within<br>the expected R4 truncation uncertainty of 8.5%. The dominant uncertainty is σ_FRGE =<br>±151 MeV, which will reduce to ±60–80 MeV at R6+ and ±20–30 MeV at R8. The decisive<br>test (sub-1% level) is thus expected at R8 truncation, not the current R4.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18776910 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Tau Lepton Mass from Asymptotic Safety Burch, Brian <p>We extend the Asymptotic Safety (AS) prediction programme to the tau lepton sector. The<br>critical exponent θ(yτ) = +0.01129 is computed at the R4 truncation level via the structural<br>ratio method, calibrated against the established θ(yt) = 0.01170 result. θ(yτ) > 0 is<br>confirmed, establishing that the tau Yukawa coupling is UV-relevant at the NGFP — the<br>same status as the top Yukawa. The predicted tau lepton mass, mτ = 1631.8 ± 175.7 MeV,<br>is consistent with the observed 1776.86 MeV at pull = −0.83σ. The 8.2% residual is within<br>the expected R4 truncation uncertainty of 8.5%. The dominant uncertainty is σ_FRGE =<br>±151 MeV, which will reduce to ±60–80 MeV at R6+ and ±20–30 MeV at R8. The decisive<br>test (sub-1% level) is thus expected at R8 truncation, not the current R4.</p> |
| title | The Tau Lepton Mass from Asymptotic Safety |
| url | https://doi.org/10.5281/zenodo.18776910 |