The gauge group and flavor number dependence of $m_V / f_{PS}$

10 нояб. 2021 г., 16:30
30m
Lattice Simulations for Hadron Phenomenology Evening session 6

Speaker

Daniel Nogradi

Описание

Composite Higgs model often feature a new strongly interacting sector based on some gauge group and some number of fermions (flavors). The physical scale is typically set by the Goldstone decay constant $f_{PS}$ and a meson state with the appropriate quantum numbers is identified with the Higgs. The lightest vector meson in these scenarios is a potential new, so far undetected, particle. Its mass in physical units $m_V / f_{PS}$ can be unambiguously obtained from non-perturbative lattice simulations and serves as a concrete prediction for every choice of gauge group and flavor number. Results will be shown for $SU(3)$ and $N_f = 2,\ldots,10$ as well as a compilation of results from the literature with other gauge groups and/or fermion content, including the large-$N$ limit. Interestingly, the $m_V / f_{PS}$ ratio is finite both inside and outside the conformal window and displays a peculiar $N_f$-dependence.

Primary author

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