Dispersive formalism for the nuclear structure correction <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>δ</mml:mi><mml:mtext>NS</mml:mtext></mml:msub></mml:math> to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math> decay rate

Abstract

Searches for new physics are often performed along the precision frontier, requiring more careful treatment of corrections previously treated approximately. For example, interpretation of high-precision measurements of $\ensuremath{\beta}$ decay require the radiative correction arising from nuclear structure that was previously estimated using oversimplified nuclear models. In this paper, the authors carefully work out the formalism needed to use input from microscopic nuclear calculations, including a multipole expansion of the relevant matrix elements. This work prepares a path to a more rigorous theory framework and more precise limits on physics beyond the Standard Model.

Topics & Concepts