Current browse context:
hep-ph
Change to browse by:
References & Citations
High Energy Physics - Phenomenology
Title: Soft pion scattering in infrared-conformal gauge-fermion theories
(Submitted on 1 Jul 2021 (v1), last revised 7 Aug 2023 (this version, v2))
Abstract: We consider the problem of soft scattering for the analogue of pion states in gauge-fermion theories which approach a conformal fixed point in the infrared limit. Introducing a fermion mass into such a theory will explicitly break both scale invariance and chiral symmetry, leading to confinement and a spectrum of bound states. We argue that in such a theory, the pion scattering length diverges in the limit of zero fermion mass, in sharp contrast to QCD-like theories where the chiral Lagrangian predicts a vanishing scattering length. We demonstrate this effect both with a simple dimensional argument, and in a generalized linear sigma model which we argue can be used to describe the interactions of light scalar and pseudoscalar bound states in the soft limit of a mass-deformed infrared-conformal theory. As a result, lattice calculations of pion scattering lengths could be a sensitive probe for infrared scale invariance in gauge-fermion theories.
Submission history
From: Ethan Neil [view email][v1] Thu, 1 Jul 2021 18:00:01 GMT (41kb,D)
[v2] Mon, 7 Aug 2023 16:03:05 GMT (42kb,D)
Link back to: arXiv, form interface, contact.