Holographic technidilaton at 125 GeV

We find that a holographic walking technicolor model has a limit (“conformal limit”) where the technidilaton (TD) becomes a massless Nambu-Goldstone boson of the scale symmetry with its nonzero finite decay constant $F_{\varphi }\ne 0$, which naturally realizes a light TD, say at 125 GeV, near the limit. In such a light TD case, we find that $F_{\varphi }$ is uniquely determined by the technipion decay constant $F_{\pi }$ independently of the holographic parameters: $F_{\varphi }/F_{\pi }\simeq \sqrt{2N_{\mathrm{TF}}}$, with $N_{\mathrm{TF}}$ being the number of technifermions. We show that the holographic TD is consistent with a new boson at 125 GeV recently discovered at the LHC.

Figure 1

Left: The $G$ dependence of $\sqrt{N_{\mathrm{TC}}}{M}_{\rho }/(4\pi F_{\pi })$ with $\overline{\kappa }=0.016$ (solid), 0.16 (dashed), and 1.6 (dotted) fixed. Right: The plot of $M_{\varphi }/M_{\rho }$ as a function of $G$ with the same values for $\overline{\kappa }$ taken.

Figure 2

The $G$ dependence of $\widehat{S}/N_{\mathrm{TC}}$ with $\overline{\kappa }=0.016$ (solid), 0.16 (dashed), and 1.6 (dotted) fixed.