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 higherorder corrections. The resulting highenergy 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 nexttoleadinglog calculation is sufficient. For 350{lt}{ital M}{sub {ital H}}{lt}450 GeV, a nexttonexttoleadinglog calculation is necessary to include large twoloop 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 »
 Authors:

 PhysikDepartment T30, Technische Universitaet Muenchen, JamesFranckStra 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 higherorder corrections. The resulting highenergy 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 nexttoleadinglog calculation is sufficient. For 350{lt}{ital M}{sub {ital H}}{lt}450 GeV, a nexttonexttoleadinglog calculation is necessary to include large twoloop 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}
}