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arXiv:1212.0627·v2·High Energy Physics — Phenomenology

Unlocking the Standard Model. III. 2 Generations of quarks : calculating the Cabibbo angle

Bruno Machet (LPTHE)🇫🇷

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Abstract

Maximally extending the Higgs sector of the Glashow-Salam-Weinberg model by including all scalar and pseudoscalar J=0 states expected for 2 generations of quarks, I demonstrate that the Cabibbo angle is given by tan^2(theta_c) = (1/m_K^2-1/m_D^2)/(1/m_\pi^2-1/m_{D_s}^2) \approx (m_\pi^2 /m_K^2)(1-m_K^2/m_D^2 + m_\pi^2/m_{D_s}^2).

Comments: Comments and explanations have been added in several places to make calculations easily reproduceable. The notations in eq.(10) have been changed to avoid confusion with the ones used later on. The results are unchanged

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