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Title: Goldstone boson scattering with a light composite scalar

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.

Authors:
; ; ; ; ; ; ORCiD logo; ; ; ; ; ; ; ; ; ;  [1]
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  1. (LSD) Collaboration
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); Swiss National Science Foundation (SNSF); UK Research and Innovation Future Leader Fellowship; Science and Technology Facilities Council; National Science Foundation (NSF)
OSTI Identifier:
1844258
Alternate Identifier(s):
OSTI ID: 1866190; OSTI ID: 2223076
Report Number(s):
LLNL-JRNL-823329
Journal ID: ISSN 2470-0010; PRVDAQ; 034505
Grant/Contract Number:  
SC0015845; SC0019061; SC0010005; SC0019323; AC52-07NA27344; AC02-06CH11357; AC05-00OR22725; 200021_17576; MR/S015418/1; ST/T000988/1; OCI-1229059; AC05-00OR2275
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 105 Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; color confinement; composite models; effective field theory; extensions of Higgs sector

Citation Formats

Appelquist, T., Brower, R. C., Cushman, K. K., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Ingoldby, J., Jin, X. Y., Neil, E. T., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., and Lattice Strong Dynamics. Goldstone boson scattering with a light composite scalar. United States: N. p., 2022. Web. doi:10.1103/PhysRevD.105.034505.
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Appelquist, T., Brower, R. C., Cushman, K. K., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Ingoldby, J., Jin, X. Y., Neil, E. T., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., & Lattice Strong Dynamics. Goldstone boson scattering with a light composite scalar. United States. https://doi.org/10.1103/PhysRevD.105.034505
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Appelquist, T., Brower, R. C., Cushman, K. K., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Ingoldby, J., Jin, X. Y., Neil, E. T., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., and Lattice Strong Dynamics. Wed . "Goldstone boson scattering with a light composite scalar". United States. https://doi.org/10.1103/PhysRevD.105.034505.
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@article{osti_1844258,
title = {Goldstone boson scattering with a light composite scalar},
author = {Appelquist, T. and Brower, R. C. and Cushman, K. K. and Fleming, G. T. and Gasbarro, A. and Hasenfratz, A. and Ingoldby, J. and Jin, X. Y. and Neil, E. T. and Osborn, J. C. and Rebbi, C. and Rinaldi, E. and Schaich, D. and Vranas, P. and Weinberg, E. and Witzel, O. and Lattice Strong Dynamics},
abstractNote = {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.},
doi = {10.1103/PhysRevD.105.034505},
journal = {Physical Review D},
number = 3,
volume = 105,
place = {United States},
year = {Wed Feb 09 00:00:00 EST 2022},
month = {Wed Feb 09 00:00:00 EST 2022}
}
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https://doi.org/10.1103/PhysRevD.105.034505
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