Projects per year
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 language | English |
---|---|
Pages (from-to) | 217–220 |
Number of pages | 4 |
Journal | Physics Letters B |
Volume | 700 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - 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
Fingerprint
Dive into the research topics of 'Scaling relations for the entire spectrum in mass-deformed conformal gauge theories'. Together they form a unique fingerprint.Projects
- 1 Finished
-
Particle Theory at the Tait Institute
Ball, R., Berera, A., Boyle, P., Del Debbio, L., Figueroa-O'Farrill, J., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., Pendleton, B. & Simon Soler, J.
1/10/11 → 30/09/15
Project: Research