Low-energy constant $L_{10}$ in a two-representation lattice theory
Maarten Golterman, William I. Jay, Ethan T. Neil, Yigal Shamir and, Benjamin Svetitsky
TL;DR
This paper computes the low-energy constant $L_{10}$ in a two-representation SU(4) lattice gauge theory, providing insights into the strong sector's contribution to the $S$ parameter relevant for composite-Higgs models.
Contribution
It presents the first lattice calculation of $L_{10}$ in a two-representation SU(4) theory near a composite-Higgs model, connecting lattice results with phenomenological bounds.
Findings
The calculated $L_{10}$ aligns with large-$N_c$ scaling expectations.
The contribution to the $S$ parameter constrains the vacuum misalignment parameter $\xi$.
Results agree with current bounds within systematic uncertainties.
Abstract
We calculate the low-energy constant in a two-representation SU(4) lattice gauge theory that is close to a composite-Higgs model. From this we obtain the contribution of the new strong sector to the parameter. This leads to an upper bound on the vacuum misalignment parameter which is similar to current estimates of this bound. Our result agrees with large- scaling expectations, within large systematic uncertainties.
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