skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Large uncertainties in the cross section of elastic {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} scattering

Abstract

The standard model amplitudes for 2{r_arrow}2 scattering processes involving longitudinally polarized gauge bosons ({ital W}{sub {ital L}}{sup {plus_minus}},{ital Z}{sub {ital L}}) and the Higgs boson are analyzed up to two loops. Assuming {ital M}{sub {ital H}}{gt}{ital M}{sub {ital W}}, the trilinear Higgs coupling {lambda}{ital v} is dominant for energies of {radical}{ital s}{lt}1.5{endash}2 {ital M}{sub {ital H}}. For larger values of {radical}{ital s}, the quartic coupling {lambda} becomes dominant, allowing for a simpler calculation of higher-order corrections. The resulting high-energy amplitudes display a large logarithmic dependence on {radical}{ital s} which can be resummed using renormalization group techniques. For {ital M}{sub {ital H}}{lt}350 GeV, a next-to-leading-log calculation is sufficient. For 350{lt}{ital M}{sub {ital H}}{lt}450 GeV, a next-to-next-to-leading-log calculation is necessary to include large two-loop corrections. For a Higgs boson mass larger than {approximately}450GeV and {radical}{ital s}{approx_gt}2{ital M}{sub {ital H}}, the perturbative results are not reliable. Choosing the MS renormalization scheme instead of the OMS scheme, the coefficients of the perturbative series increase in magnitude, making the breakdown of perturbation theory even more apparent. In conclusion, the perturbative cross sections presented here show very large uncertainties if {ital M}{sub {ital H}}{approx_gt}450 GeV and {radical}{ital s}{approx_gt}2{ital M}{sub {ital H}}, reducing the sensitivity to contributionsmore » from new physics significantly. {copyright} {ital 1996 The American Physical Society.}« less

Authors:
 [1]
  1. Physik-Department T30, Technische Universitaet Muenchen, James-Franck-Stra Se, 85747 Garching b. Muenchen (Germany)
Publication Date:
OSTI Identifier:
286095
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 53; Journal Issue: 11; Other Information: PBD: Jun 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; W MINUS BOSONS; ELASTIC SCATTERING; CROSS SECTIONS; W PLUS BOSONS; STANDARD MODEL; SCATTERING AMPLITUDES; HIGGS BOSONS; RENORMALIZATION; MASS; PERTURBATION THEORY; SENSITIVITY

Citation Formats

Riesselmann, K. Large uncertainties in the cross section of elastic {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} scattering. United States: N. p., 1996. Web. doi:10.1103/PhysRevD.53.6226.
Riesselmann, K. Large uncertainties in the cross section of elastic {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} scattering. United States. https://doi.org/10.1103/PhysRevD.53.6226
Riesselmann, K. Sat . "Large uncertainties in the cross section of elastic {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} scattering". United States. https://doi.org/10.1103/PhysRevD.53.6226.
@article{osti_286095,
title = {Large uncertainties in the cross section of elastic {ital W}{sub {ital L}}{sup +}{ital W}{sub {ital L}}{sup {minus}} scattering},
author = {Riesselmann, K},
abstractNote = {The standard model amplitudes for 2{r_arrow}2 scattering processes involving longitudinally polarized gauge bosons ({ital W}{sub {ital L}}{sup {plus_minus}},{ital Z}{sub {ital L}}) and the Higgs boson are analyzed up to two loops. Assuming {ital M}{sub {ital H}}{gt}{ital M}{sub {ital W}}, the trilinear Higgs coupling {lambda}{ital v} is dominant for energies of {radical}{ital s}{lt}1.5{endash}2 {ital M}{sub {ital H}}. For larger values of {radical}{ital s}, the quartic coupling {lambda} becomes dominant, allowing for a simpler calculation of higher-order corrections. The resulting high-energy amplitudes display a large logarithmic dependence on {radical}{ital s} which can be resummed using renormalization group techniques. For {ital M}{sub {ital H}}{lt}350 GeV, a next-to-leading-log calculation is sufficient. For 350{lt}{ital M}{sub {ital H}}{lt}450 GeV, a next-to-next-to-leading-log calculation is necessary to include large two-loop corrections. For a Higgs boson mass larger than {approximately}450GeV and {radical}{ital s}{approx_gt}2{ital M}{sub {ital H}}, the perturbative results are not reliable. Choosing the MS renormalization scheme instead of the OMS scheme, the coefficients of the perturbative series increase in magnitude, making the breakdown of perturbation theory even more apparent. In conclusion, the perturbative cross sections presented here show very large uncertainties if {ital M}{sub {ital H}}{approx_gt}450 GeV and {radical}{ital s}{approx_gt}2{ital M}{sub {ital H}}, reducing the sensitivity to contributions from new physics significantly. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevD.53.6226},
url = {https://www.osti.gov/biblio/286095}, journal = {Physical Review, D},
number = 11,
volume = 53,
place = {United States},
year = {1996},
month = {6}
}