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首页> 外文期刊>Physical review, D. Particles, fields, gravitation, and cosmology >Contributions of the W-boson propagator to the μ and τ leptonic decay rates
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Contributions of the W-boson propagator to the μ and τ leptonic decay rates

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We derive closed expressions and useful expansions for the contributions of the tree-level W-boson propagator to the muon and τ leptonic decay rates. Calling M and m the masses of the initial and final charged leptons, our results in the limit m=0 are valid to all orders in M2/MW2. In the terms of O(mj2/MW2) (m_j=M, m), our leading corrections, of O(M2/MW2), agree with the canonical value (3/5)M2/MW2, while the coefficient of our subleading contributions, of O(m2/MW2), differs from that reported in the recent literature. A possible explanation of the discrepancy is presented. The numerical effect of the O(mj2/MW2) corrections is briefly discussed. A general expression, valid for arbitrary values of M_W, M, and m in the range M_W>M>m, is given in the Appendix. The paper also contains a review of the traditional definition and evaluation of the Fermi constant.

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