$SU(2)$ Gauge Theory with Two Fundamental Flavours: Scalar and Pseudoscalar Spectrum

Abstract

We investigate the scalar and pseudoscalar spectrum of the $SU(2)$ gauge theory with $N_f=2$ flavours of fermions in the fundamental representation using non perturbative lattice simulations. We provide first benchmark estimates of the mass of the lightest $0(0^{+})$ ($\sigma$), $0(0^{-})$ (${\eta }^{\prime }$) and $1(0^{+})$ ($a_0$) states, including estimates of the relevant disconnected contributions. We find $m_{a_0}/F_{\mathrm{PS}}=16.7(4.9)$, $m_{\sigma }/F_{\mathrm{PS}}=19.2(10.8)$ and $m_{{\eta }^{\prime }}/F_{\mathrm{PS}}=12.8(4.7)$. These values for the masses of light scalar states provide crucial information for composite extensions of the Standard Model from the unified Fundamental Composi te Higgs-Technicolor theory \cite{Cacciapaglia:2014uja} to models of composite dark matter.

18 pages, 9 figures

References in corpus (3)

• Fundamental partial compositeness
• Use of stochastic sources for the lattice determination of light quark physics
• Scattering lengths in SU(2) gauge theory with two fundamental fermions

Cited by in corpus (11)

• Extending Chiral Perturbation Theory with an Isosinglet Scalar
• A Near-Conformal Composite Higgs Model
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Low-energy effective description of dark $Sp(4)$ theories
• A partially composite Goldstone Higgs
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• Composite self-interacting dark matter and Higgs
• Beyond the Standard Model: Charting Fundamental Interactions via Lattice Simulations
• Dark matter from one-flavor SU(2) gauge theory
• Rho meson decay width in SU(2) gauge theories with 2 fundamental flavours