We consider the Higgs boson decay processes and its production, and provide a
parameterisation tailored for testing models of new physics beyond the Standard
Model. We also compare our formalism to other existing parameterisations based
on scaling factors in front of the couplings and to effective Lagrangian
approaches. Different formalisms allow to best address different aspects of the
Higgs boson physics. The choice of a particular parameterisation depends on a
non-obvious balance of quantity and quality of the available experimental data,
envisaged purpose for the parameterisation and degree of model independence,
importance of the radiative corrections, scale at which new particles appear
explicitly in the physical spectrum. At present only simple parameterisations
with a limited number of fit parameters can be performed, but this situation
will improve with the forthcoming experimental LHC data. Detailed fits can only
be performed by the experimental collaborations at present, as the full
information on the different decay modes is not completely available in the
public domain. It is therefore important that different approaches are
considered and that the most detailed information is made available to allow
testing the different aspects of the Higgs boson physics and the possible hints
beyond the Standard Model.Comment: 22 pages, 5 figures, 5 tables. This version is an update including
the most recent Higgs data and new fits to two extra model