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Low-energy constant L₁₀ in a two-representation lattice theory

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arxiv 2010.01920 v2 pith:COZHDKO5 submitted 2020-10-05 hep-lat hep-ph

Low-energy constant L₁₀ in a two-representation lattice theory

classification hep-lat hep-ph
keywords boundconstantlatticelow-energyparametertheorytwo-representationagrees
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the low-energy constant $L_{10}$ 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 $S$ parameter. This leads to an upper bound on the vacuum misalignment parameter $\xi$ which is similar to current estimates of this bound. Our result agrees with large-$N_c$ scaling expectations, within large systematic uncertainties.

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