Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle

• URL: http://arxiv.org/abs/2605.22070v1
• Date: Thu, 21 May 2026 07:09:14 GMT
• Title: Symmetry Breaking as Quantum Gate: Entropy and Weak Mixing Angle
• Abstract summary: Minimizing entropies across all processes yields $sin2_W$ values matching purely axial vector-like couplings in $Z$ boson exchanged channel.
• Score: 12.69607991989666
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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