Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-10-02
Acta Physica Polonica B Proc. Suppl. vol.2, no.3 page 541 (2009)
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 6 figures, talk presented at the Cracow School of Theoretical Physics, XLIX Course, Zakopane, Poland, May 31 - June
Scientific paper
We introduce Weinberg's idea of asymptotic safety and pave the way towards an asymptotically safe chiral Yukawa system with a $U(N_L)_L \otimes U(1)_R$ symmetry in a leading-order derivative expansion using nonperturbative functional RG equations. As a toy model sharing important features with the standard model we explicitely discuss N_L=10 for which we find a non-Gaussian fixed point and compute its critical exponents. We observe a reduced hierarchy problem as well as predictions for the toy Higgs and the toy top mass.
Gies Holger
Rechenberger Stefan
Scherer Michael M.
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