NLO perturbativity bounds on quartic couplings in renormalizable theories with ${\Phi}^{4}$ like scalar sectors
Abstract
The apparent breakdown of unitarity in low order perturbation theory is often is used to place bounds on the parameters of a theory. In this work we give an algorithm for approximately computing the nexttoleading order (NLO) perturbativity bounds on the quartic couplings of a renormalizable theory whose scalar sector is Φ ^{4} like. And by this we mean theories where either there are no cubic scalar interactions, or the cubic couplings are related to the quartic couplings through spontaneous symmetry breaking. Furthermore, the quantity that tests where perturbation theory breaks down itself can be written as a perturbative series, and having the NLO terms allows one to test how well the series converges. We also present a simple example to illustrate the effect of considering these bounds at different orders in perturbation theory. For example, there is a noticeable difference in the viable parameter when the square of the NLO piece is included versus when it is not.
 Authors:

 Brookhaven National Lab. (BNL), Upton, NY (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1377050
 Alternate Identifier(s):
 OSTI ID: 1375510
 Report Number(s):
 BNL1141932017JA
Journal ID: ISSN 24700010; PRVDAQ; KA2401012
 Grant/Contract Number:
 SC00112704; SC0012704
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO; scalar; sectors; quartic; coupling; Smatrix
Citation Formats
Murphy, Christopher W. NLO perturbativity bounds on quartic couplings in renormalizable theories with Φ4 like scalar sectors. United States: N. p., 2017.
Web. https://doi.org/10.1103/PhysRevD.96.036006.
Murphy, Christopher W. NLO perturbativity bounds on quartic couplings in renormalizable theories with Φ4 like scalar sectors. United States. https://doi.org/10.1103/PhysRevD.96.036006
Murphy, Christopher W. Thu .
"NLO perturbativity bounds on quartic couplings in renormalizable theories with Φ4 like scalar sectors". United States. https://doi.org/10.1103/PhysRevD.96.036006. https://www.osti.gov/servlets/purl/1377050.
@article{osti_1377050,
title = {NLO perturbativity bounds on quartic couplings in renormalizable theories with Φ4 like scalar sectors},
author = {Murphy, Christopher W.},
abstractNote = {The apparent breakdown of unitarity in low order perturbation theory is often is used to place bounds on the parameters of a theory. In this work we give an algorithm for approximately computing the nexttoleading order (NLO) perturbativity bounds on the quartic couplings of a renormalizable theory whose scalar sector is Φ 4 like. And by this we mean theories where either there are no cubic scalar interactions, or the cubic couplings are related to the quartic couplings through spontaneous symmetry breaking. Furthermore, the quantity that tests where perturbation theory breaks down itself can be written as a perturbative series, and having the NLO terms allows one to test how well the series converges. We also present a simple example to illustrate the effect of considering these bounds at different orders in perturbation theory. For example, there is a noticeable difference in the viable parameter when the square of the NLO piece is included versus when it is not.},
doi = {10.1103/PhysRevD.96.036006},
journal = {Physical Review D},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}
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