Systematic resummation and comprehensive phenomenology for generic axion masses

Develop a complete resummed analysis of the soft-overlap and spectator-scattering contributions in the SCET framework for axion-induced heavy-to-light decays, particularly for generic axion masses, together with a comprehensive phenomenological analysis.

Background

The paper formulates the SCET factorization framework for heavy QCD axions in rare heavy-to-light decays and discusses the renormalization-group evolution of the relevant axion-involved SCET operators. It argues that leading logarithms cancel in the ratio of spectator-scattering to soft-overlap amplitudes, while non-cusp terms and the momentum-fraction dependence of the B-type coefficient can still affect the individual amplitudes and their ratio.

The authors restrict their calculation to leading order in the strong coupling and do not perform a full resummed treatment across the relevant hard, hard-collinear, and low-energy scales. They explicitly identify systematic resummation and a broader phenomenological study, especially for generic axion masses, as work for future investigations.

References

A complete resummed analysis, particularly for generic axion masses, lies beyond the scope of the present work. Our primary objective here is to formulate the SCET framework for axion-induced heavy-to-light decays, leaving a systematic resummation and a comprehensive phenomenological analysis for future investigations.

— Soft Collinear Effective Theory for Heavy QCD Axions  (2608.12467 - Bisht et al., 12 Aug 2026) in Appendix, Section “Comment on the RGEs of the axion involved SCET operators”