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One-loop Chiral Perturbation Theory with two fermion representations

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arxiv 1605.07738 v2 pith:B6LAURFL submitted 2016-05-25 hep-ph hep-lat

One-loop Chiral Perturbation Theory with two fermion representations

classification hep-ph hep-lat
keywords representationstheorybosonbrokenchiralnambu-goldstoneperturbationsinglet
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop Chiral Perturbation Theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a non-anomalous singlet $U(1)_A$ symmetry, yielding an additional Nambu-Goldstone boson when spontaneously broken. We calculate the next-to-leading order corrections for the pseudoscalar masses and decay constants, which include the singlet Nambu-Goldstone boson, as well as for the two condensates. The results can be generalized to more than two representations.

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Cited by 2 Pith papers

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    hep-ph 2026-05 unverdicted novelty 6.0

    Colour-sextet top partners in composite Higgs models are excluded up to 2-2.5 TeV by current LHC data via top-rich decays, with HL-LHC reach near 3 TeV.

  2. SU(2) gauge theory with one and two adjoint fermions towards the continuum limit

    hep-lat 2024-07 unverdicted novelty 5.0

    Extended lattice simulations yield continuum-limit anomalous dimensions γ* = 0.170(6) for Nf=1 and γ* = 0.291(9) for Nf=2 adjoint SU(2), with chiral perturbation theory ruling out spontaneous chiral symmetry breaking.