Chiral perturbation theory beyond one loop

Bijnens, Johan

doi:10.1016/j.ppnp.2006.08.002

Cited by 124 publications

(109 citation statements)

References 223 publications

(499 reference statements)

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“…Calculations up to NNLO are clearly useful to settle the issue [10][11][12][13]. An exploratory study of the RBC/UKQCD data [4,5] on K ℓ3 form factors and F K /F π (the ratio of the kaon and pion decay constants) showed that NNLO terms are not negligible though of the expected size, the NLO terms of some observables being in this particular study anomalously small for some known reasons.…”

Section: Introductionmentioning

confidence: 70%

“…The third quantity measures the relative size of the quark masses in a framework where the strange quark is supposed to play a peculiar role in the chiral structure of QCD vacuum. In the following, we will also use the quantity Y (3): 10) which assesses the saturation of the chiral expansion of the pion mass by its leading order.…”

Section: Jhep01(2011)107mentioning

confidence: 99%

“…As recalled in refs. [10,25,26], the situation seems to be well under control in the ππ system, but the fits yield sometimes contradictions once πK data is considered. It was advocated in refs.…”

Section: Introductionmentioning

confidence: 99%

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Chiral dynamics with strange quarks in the light of recent lattice simulations

Bernard

Descotes-Genon

Toucas

2011

J. High Energ. Phys.

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Several lattice collaborations performing simulations with 2+1 light dynamical quarks have experienced difficulties in fitting their data with standard N f = 3 chiral expansions at next-to-leading order, yielding low values of the quark condensate and/or the decay constant in the N f = 3 chiral limit. A reordering of these expansions seems required to analyse these data in a consistent way. We discuss such a reordering, known as Resummed Chiral Perturbation Theory, in the case of pseudoscalar masses and decay constants, pion and kaon electromagnetic form factors and K ℓ3 form factors. We show that it provides a good fit of the recent results of two lattice collaborations (PACS-CS and RBC/UKQCD). We describe the emerging picture for the pattern of chiral symmetry breaking, marked by a strong dependence of the observables on the strange quark mass and thus a significant difference between chiral symmetry breaking in the N f = 2 and N f = 3 chiral limits. We discuss the consequences for the ratio of decay constants F K /F π and the K ℓ3 form factor at vanishing momentum transfer.

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Section: Introductionmentioning

confidence: 70%

Section: Jhep01(2011)107mentioning

confidence: 99%

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Chiral dynamics with strange quarks in the light of recent lattice simulations

Bernard

Descotes-Genon

Toucas

2011

J. High Energ. Phys.

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“…An introduction to ChPT can be found in [23,24] and in the two-loop review [25]. The lowest order and p 4 -Lagrangian can be found in [4].…”

Section: Jhep11(2015)097 2 Partially Quenched Chiral Perturbation Theorymentioning

confidence: 99%

Finite volume for three-flavour Partially Quenched Chiral Perturbation Theory through NNLO in the meson sector

Bijnens

Rössler

2015

J. High Energ. Phys.

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We present a calculation of the finite volume corrections to meson masses and decay constants in three flavour Partially Quenched Chiral Perturbation Theory (PQChPT) through two-loop order in the chiral expansion for the flavour-charged (or off-diagonal) pseudoscalar mesons. The analytical results are obtained for three sea quark flavours with one, two or three different masses. We reproduce the known infinite volume results and the finite volume results in the unquenched case. The calculation has been performed using the supersymmetric formulation of PQChPT as well as with a quark flow technique.Partial analytical results can be found in the appendices. Some examples of cases relevant to lattice QCD are studied numerically. Numerical programs for all results are available as part of the CHIRON package.

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“…This input is especially welcome for LECs modulating quark mass terms: unlike in phenomenological analyses, quark (and hadron) masses can be tuned on the lattice. a e-mail: Gerhard.Ecker@univie.ac.at b e-mail: masjuan@kph.uni-mainz.de c e-mail: helmut.neufeld@univie.ac.at While this program has been very successful for chiral SU (2), the situation is less satisfactory for SU (3) [1]. In the latter case, the natural expansion parameter (in the meson sector) is M 2 K /16π 2 F 2 π 0.2.…”

Section: Introductionmentioning

confidence: 99%

Approximating chiral $${SU}(3)$$ S U ( 3 ) amplitudes

2014

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We construct large-N c motivated approximate chiral SU (3) amplitudes of next-to-next-to-leading order. The amplitudes are independent of the renormalisation scale. Fitting lattice data with those amplitudes allows for the extraction of chiral coupling constants with the correct scale dependence. The differences between approximate and full amplitudes are required to be at most of the order of N 3 LO contributions numerically. Applying the approximate expressions to recent lattice data for meson decay constants, we determine several chiral couplings with good precision. In particular, we obtain a value for F 0 , the meson decay constant in the chiral SU (3) limit, that is more precise than all presently available determinations.

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Chiral perturbation theory beyond one loop

Cited by 124 publications

References 223 publications

Chiral dynamics with strange quarks in the light of recent lattice simulations

Chiral dynamics with strange quarks in the light of recent lattice simulations

Finite volume for three-flavour Partially Quenched Chiral Perturbation Theory through NNLO in the meson sector

Approximating chiral $${SU}(3)$$ S U ( 3 ) amplitudes

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