%0 Journal Article %1 Siringo:2009gz %A Siringo, Fabio %A Marotta, Luca %D 2009 %K EffectiveAction GaussApproximation HiggsModel %T Gaussian effective potential and bubble expansions: a non- perturbative low energy effective model for the Higgs sector of the Standard Model %U http://www.slac.stanford.edu/spires/find/hep/www?eprint=arXiv:0901.2418 %X Abstract: By use of a non-perturbative variational method, an effective model is derived for the Higgs sector of the standard model, here described by a simple scalar theory. The renormalized couplings are determined by the derivatives of the Gaussian Effective Potential that are known to be the sum of infinite bubble graphs contributing to the vertex functions. A good agreement has been found with strong coupling lattice simulations when a comparison can be made. The flow of the renormalized couplings shows important deviations from the trivial behaviour expected by perturbation theory near the critical point. The possible existence of a strongly coupled light Higgs is confirmed for a coupling range that cannot be accessed by perturbative methods. Non-perturbative estimates of the physical amplitudes can be evaluated at tree-level by the effective Lagrangian, and compared with the eventual phenomenology of the Higgs boson.

@article{Siringo:2009gz, abstract = { Abstract: By use of a non-perturbative variational method, an effective model is derived for the Higgs sector of the standard model, here described by a simple scalar theory. The renormalized couplings are determined by the derivatives of the Gaussian Effective Potential that are known to be the sum of infinite bubble graphs contributing to the vertex functions. A good agreement has been found with strong coupling lattice simulations when a comparison can be made. The flow of the renormalized couplings shows important deviations from the trivial behaviour expected by perturbation theory near the critical point. The possible existence of a strongly coupled light Higgs is confirmed for a coupling range that cannot be accessed by perturbative methods. Non-perturbative estimates of the physical amplitudes can be evaluated at tree-level by the effective Lagrangian, and compared with the eventual phenomenology of the Higgs boson. }, added-at = {2009-03-29T13:44:23.000+0200}, archiveprefix = {arXiv}, author = {Siringo, Fabio and Marotta, Luca}, biburl = {https://www.bibsonomy.org/bibtex/26fc0c267358b9e6d4be347d77306a90f/gber}, description = {SPIRES-HEP: FIND EPRINT ARXIV:0901.2418}, eprint = {0901.2418}, interhash = {aff81936dc571ba9de7853c1385b6d5e}, intrahash = {6fc0c267358b9e6d4be347d77306a90f}, keywords = {EffectiveAction GaussApproximation HiggsModel}, primaryclass = {hep-ph}, slaccitation = {%%CITATION = 0901.2418;%%}, timestamp = {2009-03-29T13:44:23.000+0200}, title = {{Gaussian effective potential and bubble expansions: a non- perturbative low energy effective model for the Higgs sector of the Standard Model}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=arXiv:0901.2418}, year = 2009 }