Abstract
We present a calculation of the meson masses, decay constants and quark-antiquark vacuum expectation value for the three generic QCD-like chiral symmetry breaking patterns SU(N-F) x SU(N-F) -> SU(N-F)(V), SU(N-F) -> SO(N-F) and SU(2N(F)) -> Sp(2N(F)) in the effective field theory for these cases. We extend the previous two-loop work to include effects of partial quenching and finite volume. The calculation has been performed using the quark flow technique. We reproduce the known in finite volume results in the unquenched case. The analytical results can be found in the supplementary material. Some examples of numerical results are given. The numerical programs for all cases are included in version 0.54 of the CHIRON package. The purpose of this work is the use in lattice extrapolations to zero mass for QCD-like and strongly interacting Higgs sector lattice calculations. (Less)
Highlights
Some examples of numerical results are given
We present a calculation of the meson masses, decay constants and quarkantiquark vacuum expectation value for the three generic QCD-like chiral symmetry breaking patterns SU(NF ) × SU(NF ) → SU(NF )V, SU(NF ) → SO(NF ) and SU(2NF ) → Sp(2NF ) in the effective field theory for these cases
We show in this work that the effective field theory (EFT) for the quantities we consider is really the same as for Dirac fermions
Summary
A more extensive discussion can be found in [21, 24]. Here we quote the results. When we have a global symmetry group G with generators T a which is spontaneously broken down to a subgroup H with generators Qa which form a subset of the T a, the Goldstone bosons can be described by the coset G/H. Just as in the cases discussed in [24] we can construct a rotated vacuum in general by using the broken part of the symmetry group on the vacuum. The Lagrangians at LO and NLO have exactly the same form as given in (3.1) and (3.2) with uμ, χ± and f±μν as defined in (3.12), (3.13) and (3.14)
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