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| Format: | Preprint |
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2026
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| Online-Zugang: | https://arxiv.org/abs/2605.22070 |
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| _version_ | 1866918516201881600 |
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| author | Cao, Qing-Hong Liu, Yandong Qi, Haotian Zhang, Hao Zhao, Haoran |
| author_facet | Cao, Qing-Hong Liu, Yandong Qi, Haotian Zhang, Hao Zhao, Haoran |
| contents | We establish a correspondence between two independent entropic probes -- the variation of Rényi mutual information (RMI) across the electroweak symmetry breaking (EWSB) transition and the stabilizer Rényi entropy (SRE) -- in tree-level $2\to 2$ elastic scatterings. After angular averaging, the RMI (helicity basis) and the SRE (fixed beam basis) exhibit identical dependence on $\sin^2θ_W$ within each neutral-current channel. We trace this correspondence to a common physical origin that it's the Yukawa mass insertion acts as a $-\mathrm{i}Y$ quantum gate in chirality space. Minimizing entropies across all processes yields $\sin^2θ_W$ values matching purely axial vector-like couplings in $Z$ boson exchanged channel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22070 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle Cao, Qing-Hong Liu, Yandong Qi, Haotian Zhang, Hao Zhao, Haoran High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics We establish a correspondence between two independent entropic probes -- the variation of Rényi mutual information (RMI) across the electroweak symmetry breaking (EWSB) transition and the stabilizer Rényi entropy (SRE) -- in tree-level $2\to 2$ elastic scatterings. After angular averaging, the RMI (helicity basis) and the SRE (fixed beam basis) exhibit identical dependence on $\sin^2θ_W$ within each neutral-current channel. We trace this correspondence to a common physical origin that it's the Yukawa mass insertion acts as a $-\mathrm{i}Y$ quantum gate in chirality space. Minimizing entropies across all processes yields $\sin^2θ_W$ values matching purely axial vector-like couplings in $Z$ boson exchanged channel. |
| title | Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2605.22070 |