@article{0eb81b79862346da98bce4bfa7a9be47, title = "Scaling relations for the entire spectrum in mass-deformed conformal gauge theories", abstract = "We consider mass-deformed conformal gauge theories (mCGT) and investigate the scaling behaviour of hadronic observables as a function of the fermion mass. Applying renormalization group arguments directly to matrix elements, we find m_H ~ m^{1/(1+gamma*)} and F ~ m^{\eta_F(gamma*)} for the decay constants, thereby generalizing our results from a previous paper to the entire spectrum. We derive the scaling law m_H \~m^{1/(1+gamma*)} using the Hellmann-Feynman theorem, and thus provide a derivation which does not rely on renormalization group arguments. Using the new results we reiterate, on the phenomenologically important, S-parameter. Finally, we discuss how spectral representations can be used to relate the mass and decay constant trajectories.", keywords = "hep-ph, hep-lat, hep-th, Conformal window, Critical exponents, 4D conformal gauge theories, Hadronic observables, Lattice Monte Carlo simulations, Exact beta function", author = "{Del Debbio}, Luigi and Roman Zwicky", note = "11 pages; typos removed, additional comments, version to appear in PLB", year = "2011", month = jun, day = "13", doi = "10.1016/j.physletb.2011.04.059", language = "English", volume = "700", pages = "217–220", journal = "Physics Letters B", issn = "0370-2693", publisher = "Elsevier B.V.", number = "3-4", }