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

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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.
Original languageEnglish
Pages (from-to)217–220
Number of pages4
JournalPhysics Letters B
Volume700
Issue number3-4
DOIs
Publication statusPublished - 13 Jun 2011

Keywords

  • hep-ph
  • hep-lat
  • hep-th
  • Conformal window
  • Critical exponents
  • 4D conformal gauge theories
  • Hadronic observables
  • Lattice Monte Carlo simulations
  • Exact beta function

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