在圆弧上区分成对的孪生 b 味单位三角形
高能物理 - 唯象学
2020-02-19 v2 高能物理 - 实验
摘要
借助夸克味混合与 CP 破坏的广义 Wolfenstein 参数化，我们计算了由 V u b ∗ V u d + V c b ∗ V c d + V t b ∗ V t d = 0 V^{*}_{ub} V^{}_{ud} + V^{*}_{cb} V^{}_{cd} + V^{*}_{tb} V^{}_{td} = 0 V u b ∗ V u d + V c b ∗ V c d + V t b ∗ V t d = 0 V u d ∗ V t d + V u s ∗ V t s + V u b ∗ V t b = 0 V^{*}_{ud} V^{}_{td} + V^{*}_{us} V^{}_{ts} + V^{*}_{ub} V^{}_{tb} = 0 V u d ∗ V t d + V u s ∗ V t s + V u b ∗ V t b = 0 ρ ˉ + i η ˉ = − ( V u b ∗ V u d ) / ( V c b ∗ V c d ) \bar{\rho} + {\rm i} \bar{\eta} = -\left(V^{*}_{ub} V^{}_{ud}\right)/\left(V^{*}_{cb} V^{}_{cd}\right) ρ ˉ + i η ˉ = − ( V u b ∗ V u d ) / ( V c b ∗ V c d ) ρ ~ + i η ~ = − ( V u b ∗ V t b ) / ( V u s ∗ V t s ) \widetilde{\rho} + {\rm i} \widetilde{\eta} = -\left(V^{*}_{ub} V^{}_{tb}\right)/\left(V^{*}_{us} V^{}_{ts}\right) ρ + i η = − ( V u b ∗ V t b ) / ( V u s ∗ V t s ) O = ( 0.5 , 0.5 cot α ) O = \left(0.5, 0.5 \cot\alpha\right) O = ( 0.5 , 0.5 cot α ) R = 0.5 csc α R = 0.5 \csc\alpha R = 0.5 csc α α \alpha α ( ρ ˉ , η ˉ ) (\bar{\rho}, \bar{\eta}) ( ρ ˉ , η ˉ ) ( ρ ~ , η ~ ) (\widetilde{\rho}, \widetilde{\eta}) ( ρ , η ) ρ ~ − ρ ˉ ∼ η ~ − η ˉ ∼ O ( λ 2 ) \widetilde{\rho} - \bar{\rho} \sim \widetilde{\eta} - \bar{\eta} \sim {\cal O}(\lambda^2) ρ − ρ ˉ ∼ η − η ˉ ∼ O ( λ 2 ) λ ≃ 0.22 \lambda \simeq 0.22 λ ≃ 0.22 O ( λ 4 ) {\cal O}(\lambda^4) O ( λ 4 )
引用
@article{arxiv.1911.03292,
title = {Distinguishing between the twin $b$-flavored unitarity triangles on a circular arc},
author = {Zhi-zhong Xing and Di Zhang},
journal= {arXiv preprint arXiv:1911.03292},
year = {2020}
}
备注
15 pages, 6 figures, 1 table, accepted for publication in PLB