Scattering lengths in SU(2) gauge theory with two fundamental fermions

Abstract

We investigate non perturbatively scattering properties of Goldstone Bosons in an SU(2) gauge theory with two Wilson fermions in the fundamental representation. Such a theory can be used to build extensions of the Standard Model that unifies Technicolor and pseudo Goldstone composite Higgs models. The leading order contribution to the scattering amplitude of Goldstone bosons at low energy is given by the scattering lengths. In the context of technicolor extensions of the Standard Model the scattering lengths are constrained by WW scattering measurements. We first describe our setup and in particular the expected chiral symmetry breaking pattern. We then discuss how to compute them on the lattice and give preliminary results using finite size methods.

arXiv commentConference Proceedings, 7 pages and 4 figures. Talk presented at the 32nd International Symposium on Lattice Field Theory, Columbia University, New York City, NY

References in corpus (5)

• Ultra Minimal Technicolor and its Dark Matter TIMP
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• Conformal Windows of SP(2N) and SO(N) Gauge Theories
• Meson-meson Scattering in QCD-like Theories
• Composite (Goldstone) Higgs Dynamics on the Lattice: Spectrum of SU(2) Gauge Theory with two Fundamental Fermions

Cited by in corpus (5)

• SU(2) Gauge Theory with Two Fundamental Flavours: a Minimal Template for Model Building
• Fundamental Composite Electroweak Dynamics: Status at the LHC
• $SU(2)$ Gauge Theory with Two Fundamental Flavours: Scalar and Pseudoscalar Spectrum
• Composite (Goldstone) Higgs Dynamics on the Lattice: Spectrum of SU(2) Gauge Theory with two Fundamental Fermions
• Resonance study of SU(2) model with 2 fundamental flavours of fermions