English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

It is well-known that the traditional treatment of radiative corrections thatutilizes the ``true'' neutrino momentum $\vec{p}_\nu$ in the differential decayrate formula could lead to a $\sim \alpha/\pi$ systematic error in certainobservables due to the mistreatment of 4-body kinematics. We investigate thetheory structure of one of the proposed solutions, the ``$\nu'$-formalism'', inthe non-recoil limit appropriate for neutron and nuclear beta decays. We derivean elegant master formula for the 4-body phase space and use it to re-analyzethe spectrum-dependent ``outer'' radiative corrections to the beta decay of apolarized spin-half nucleus; a complete set of analytic expressions is providedfor readers to straightforwardly obtain the final numerical results. We compareit to the ``recoil formalism'' where the energy of the recoil nucleus is fixed.

Pseudo-neutrino versus recoil formalism for 4-body phase space and applications to nuclear decay