Derives a geometric formula for the weak mixing angle, indicating a new approach to its calculation.
This paper derives a purely geometric form of the weak mixing angle from the waist-edge/base-edge decomposition of the cross-sector coupling and the root system geometry of Spin(8). does not depend on the free choice of renormalization scheme, but is jointly determined by the sector angles , and the cross-sector coupling prefactors , . The geometric formula yields , deviating from the experimental value by .
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guobin ouyang (2026) studied this question.
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