Startling Equivalences in the Higgs-Goldstone Sector between Radiative and Lowest-Order Conventional Electroweak Symmetry Breaking

Abstract

For the Higgs boson mass of $\sim 220$ GeV expected to arise from radiative electroweak symmetry breaking, we find the same lowest-order expressions as would be obtained from conventional electroweak symmetry breaking, given the same Higgs boson mass, for Higgs-Goldstone sector scattering processes identified with $W_L^{+}{W}_L^{-}\to W_L^{+}{W}_L^{-}$, $W_L^{+}{W}_L^{-}\to Z_L{Z}_L$, as well as for Higgs boson decay widths $H\to W_L^{+}{W}_L^{-}$, $H\to Z_L{Z}_L$. The radiatively broken case, however, leads to an order of magnitude enhancement over lowest-order conventional symmetry breaking for scattering processes $W_L^{+}{W}_L^{+}\to HH$, $Z_L{Z}_L\to HH$, as well as a factor of $\sim 30$ enhancement for $HH\to HH$.

Comments: 6 pages, uses ws-ijmpa.cls written in Latex2E. Major revision in text and conclusions--different enhanced scattering processes found than the earlier version. To appear in the IJMPA proceedings issue for MRST 2005, Utica, NY