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arXiv · 1009.2894

Scaling relations for the entire spectrum in mass-deformed conformal gauge theories

Luigi Del Debbio·Roman Zwicky
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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.

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Luigi Del Debbio, Roman Zwicky. 2010-09-15. Scaling relations for the entire spectrum in mass-deformed conformal gauge theories. https://doi.org/10.1016/j.physletb.2011.04.059

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