Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-03-09
Phys.Rev. D48 (1993) 1084-1096
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, 6 figures available by request to LD, RevTEX 3.0, MAD/TH/92-7
Scientific paper
10.1103/PhysRevD.48.1084
We use the results of Maher {\em et al.\/} (preceding paper) to construct the matrix of $j=0$ partial-wave two-body and $2\rightarrow3$ scattering amplitudes for the scattering of longitudinally polarized gauge bosons $W_L^\pm$, $Z_L$ and Higgs bosons $H$ correct to two loops in the high-energy, heavy-Higgs limit $\sqrt{s}\gg M_H\gg M_W$. We show explicitly that the energy dependence of the $2\rightarrow2$ amplitudes can be completely absorbed into a running quartic Higgs coupling $\lambda_s= \lambda_s(s,M_H^2)$ and factors which involve small anomalous dimensions and remain near unity. After diagonalizing the matrix of partial-wave amplitudes, we use an Argand-diagram analysis to show that the elastic scattering amplitudes are approximately unitary and weakly interacting for $\lambda_s\alt2.3$, but that three-loop corrections are necessary to restore unitarity for larger values of $\lambda_s$. That is, the interactions in the Higgs sector of the standard model are effectively strong with respect to the perturbative expansion for $\lambda_s\agt2.3$. The bound $\lambda_s\alt2.3$ for a weakly interacting theory translates to a physical Higgs mass $M_H\alt380$ GeV if the bound is to hold for energies up to a few TeV, or $M_H\leq155$ GeV in perturbatively unified theories with mass scales of order $10^{16}$ GeV.
Durand Loyal
Maher Peter N.
Riesselmann Kurt
No associations
LandOfFree
Two-loop unitarity constraints on the Higgs boson coupling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Two-loop unitarity constraints on the Higgs boson coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-loop unitarity constraints on the Higgs boson coupling will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-394159