Goldstone boson scattering with a light composite scalar



Appelquist, T, Brower, RC, Cushman, KK, Fleming, GT, Gasbarro, A, Hasenfratz, A, Ingoldby, J, Jin, XY, Neil, ET, Osborn, JC
et al (show 6 more authors) (2022) Goldstone boson scattering with a light composite scalar. PHYSICAL REVIEW D, 105 (3). 034505-.

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Abstract

The appearance of a light composite $0^+$ scalar resonance in nearly conformal gauge-fermion theories motivates further study of the low energy structure of these theories. To this end, we present a nonperturbative lattice calculation of s-wave scattering of Goldstone bosons in the maximal-isospin channel in SU(3) gauge theory with $N_f=8$ light, degenerate flavors. The scattering phase shift is measured both for different values of the underlying fermion mass and for different values of the scattering momentum. We examine the effect of a light flavor-singlet scalar (reported in earlier studies) on Goldstone boson scattering, employing a dilaton effective field theory (EFT) at the tree level. The EFT gives a good description of the scattering data, insofar as the magnitude of deviations between EFT and lattice data are no larger than the expected size of next-to-leading order corrections in the EFT.

Item Type: Article
Additional Information: 13 pages, 6 figures, 4 tables. References and clarifying comments added. To match published version
Uncontrolled Keywords: hep-ph, hep-ph, hep-lat
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 02 Mar 2022 10:13
Last Modified: 15 Mar 2024 15:49
DOI: 10.1103/PhysRevD.105.034505
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3149912

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