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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.18508 |
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| _version_ | 1866908412144517120 |
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| author | Harrison, P. F. Scott, W. G. |
| author_facet | Harrison, P. F. Scott, W. G. |
| contents | We propose a novel quark mass matrix texture-pair with five free parameters, which fits the four quark mass ratios $m_s/m_b$, $m_d/m_b$, $m_c/m_t$, $m_u/m_t$, and the four CKM quark mixing observables. The matrices each have one texture zero, but the main innovation here is a ``geometric'' ansatz exploiting a pair of small complex expansion parameters, based on the geometry of the Unitarity Triangle. The fit to the observables is in good agreement with current experimental values renormalised to $\sim\!\!10^4$ TeV, and offers decisive tests against future high-precision measurements of the unitarity triangle angles at the weak scale. We identify two novel symmetries of these mass matrices which explain the phenomenologically-successful relations $α\equivϕ_2\simeq\tfracπ{2}$ and $β\equivϕ_1\simeq\tfracπ{8}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unitarity triangle angles explained: a predictive new quark mass matrix texture Harrison, P. F. Scott, W. G. High Energy Physics - Phenomenology We propose a novel quark mass matrix texture-pair with five free parameters, which fits the four quark mass ratios $m_s/m_b$, $m_d/m_b$, $m_c/m_t$, $m_u/m_t$, and the four CKM quark mixing observables. The matrices each have one texture zero, but the main innovation here is a ``geometric'' ansatz exploiting a pair of small complex expansion parameters, based on the geometry of the Unitarity Triangle. The fit to the observables is in good agreement with current experimental values renormalised to $\sim\!\!10^4$ TeV, and offers decisive tests against future high-precision measurements of the unitarity triangle angles at the weak scale. We identify two novel symmetries of these mass matrices which explain the phenomenologically-successful relations $α\equivϕ_2\simeq\tfracπ{2}$ and $β\equivϕ_1\simeq\tfracπ{8}$. |
| title | Unitarity triangle angles explained: a predictive new quark mass matrix texture |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2501.18508 |