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<p>We propose a Lorentz invariant and little group covariant description of beta decay amplitudes relying on on-shell amplitude methods and the spinor variables for massive particles. The framework is employed to calculate Coulomb corrections to the decay amplitude and their contribution to <i>T</i>-odd correlation coefficients, including the <i>D</i> parameter. In the SM limit we recover the known results for the Coulomb contributions to <i>D</i> and update their numerical values. We also calculate new subleading contributions to <i>D</i> in the presence of non-standard scalar and tensor interactions. We also point out that another <i>T</i>-odd correlation coefficient is generated in the SM at the same order as the <i>D</i> parameter, and provide their numerical values for selected transitions.</p>

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On the Coulomb corrections in nuclear beta decay

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月3日

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  • Edoardo Alviani,
  • Adam Falkowski

摘要

We propose a Lorentz invariant and little group covariant description of beta decay amplitudes relying on on-shell amplitude methods and the spinor variables for massive particles. The framework is employed to calculate Coulomb corrections to the decay amplitude and their contribution to T-odd correlation coefficients, including the D parameter. In the SM limit we recover the known results for the Coulomb contributions to D and update their numerical values. We also calculate new subleading contributions to D in the presence of non-standard scalar and tensor interactions. We also point out that another T-odd correlation coefficient is generated in the SM at the same order as the D parameter, and provide their numerical values for selected transitions.