Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-09-15
Phys.Lett.B700:217-220,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages; typos removed, additional comments, version to appear in PLB
Scientific paper
10.1016/j.physletb.2011.04.059
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.
Debbio Luigi Del
Zwicky Roman
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