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We investigate some higher-loop structural properties of the $\beta$ function in asymptotically free vectorial gauge theories.
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T. Appelquist and F. Sannino, Phys. Rev. D 59
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Some of the theoretical papers on the mass of a possible light dilaton include the following (this list focuses on papers with dilaton mass estimates; other papers concentrate on phenomenological fits of the 126 GeV boson discovered at the LHC to a dilaton with various assumptions about the dilaton couplings): K. Yamawaki, M. Bando, and K. Matumoto, Phys. Rev. Lett. 56
2008
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A recent review is S. Bethke, Eur. Phys. J. C 64
2009
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It is straightforward to include fermion masses, since these are gauge-invariant in a vectorial theory. However, for a given fermion mass m m , as the reference scale μ \mu decreases below m m , one would integrate these out of the low-energy effective theory applicable for μ < m \mu<m , so a massive fermion would not affect the UV to IR evolution significantly below its mass
Cited in the paper.
For the three-loop versus four-loop comparison, the difference α I R , 3 ℓ − α I R , 4 ℓ \alpha_{IR,3\ell}-\alpha_{IR,4\ell} was found in bvh to be smaller in magnitude than α I R , 2 ℓ − α I R , 3 ℓ \alpha_{IR,2\ell}-\alpha_{IR,3\ell} , and was negative for the fundamental representation but could be either positive or negative for a higher representation such as the adjoint
Cited in the paper.
2012
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T. A. Ryttov and R. Shrock, Phys. Rev. D 86
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T. Appelquist, G. Fleming, E. Neil, and D. Schaich, Phys. Rev. D 84
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See M. Mojaza, C. Pica, T. A. Ryttov, and F. Sannino, Phys. Rev. D 86
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See, e.g., S. J. Brodsky and X.-G. Wu, Phys. Rev. Lett. 109
2013
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