C2: SU(2) gauge theory with N_f = 24 fermions at finite mass

28 Jul 2021, 08:00
1h
Poster Particle physics beyond the Standard Model Poster

Speaker

Ahmed Salami (University of Helsinki)

Description

SU(2) gauge theory with $N_f=24$ massless fundamental fermions is trivial: in the UV it has a Landau pole and in the IR it becomes free. At non-zero fermion mass the IR behaviour is expected to change: as the fermions decouple at sufficiently low energies, the theory reduces to pure gauge SU(2) and is therefore confining. We measure the evolution of the coupling constant with the gradient flow method. The decoupling of the fermions is observed clearly: the evolution of the coupling constant smoothly interpolates between the massless $N_f=24$ behaviour and pure gauge behaviour as the energy scale $\mu$ changes from $\mu >> m_q$ to $\mu << m_q$. We also measure the mass spectrum and string tension of the theory, and verify that they approach the expected free theory behaviour as $m_q \rightarrow 0$.

Primary authors

Jarno Rantaharju (University of Helsinki) Tobias Rindlisbacher (University of Helsinki) Prof. Kari Rummukainen (University of Helsinki) Kimmo Tuominen (University of Helsinki) Ahmed Salami (University of Helsinki)

Presentation materials