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On the scalar πK form factor beyond the elastic region

by Frederic Noël, Leon von Detten, Christoph Hanhart, Martin Hoferichter, Bastian Kubis

Submission summary

Authors (as registered SciPost users): Martin Hoferichter · Frederic Noel
Submission information
Preprint Link: scipost_202111_00029v1  (pdf)
Date accepted: 2024-12-11
Date submitted: 2021-11-16 16:37
Submitted by: Noel, Frederic
Submitted to: SciPost Physics Proceedings
Proceedings issue: 16th International Workshop on Tau Lepton Physics (TAU2021)
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Phenomenology
Approach: Phenomenological

Abstract

Pion--kaon (πK) final states, often appearing in heavy-particle decays at the precision frontier, are important for Standard-Model tests, to describe crossed channels with exotic states, and for spectroscopy of excited kaon resonances. We construct a representation of the πK S-wave form factor using the elastic πK scattering phase shift via dispersion relations in the elastic region and extend this model into the inelastic region using resonance exchange, while maintaining unitarity and the correct analytic structure. As a first application, we successfully described the τKSπντ spectrum to not only achieve a better distinction between S- and P-wave contributions, but also to provide an improved estimate of the CP asymmetry produced by a tensor operator as well as the forward--backward asymmetry, both of which can be confronted with future data at Belle II. The work presented here is published in Ref. [1].

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics Proceedings: Publish
(status: Editorial decision fixed and (if required) accepted by authors)


Reports on this Submission

Report #1 by Swagato Banerjee (Referee 1) on 2024-12-2 (Invited Report)

Report

Scalar 𝜋𝐾 form factors are discussed beyond the elastic region. A representation of the S-wave form factor is developed using elastic scattering phase shifts. This is then extended into the inelastic region while maintaining unitarity. The formalism is applied to the 𝜏- → 𝐾𝑆 𝜋- 𝜈 decay spectrum, enabling improved distinctions between contributions of different resonances and refining CP asymmetry estimates. Results indicate consistency with physical principles and utility for future analyses of semi-leptonic decays and exotic states.

Recommendation

Publish (surpasses expectations and criteria for this Journal; among top 10%)

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