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

Bijnens, Johan; Rössler, Thomas

doi:10.1007/jhep11(2015)097

Cited by 8 publications

(13 citation statements)

References 45 publications

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“…The unquenched results for masses and decay constants at finite volume agree with [41]. The partially quenched results for masses and decay constants at finite volume agree with the case d sea = 1, d val = 1 of [42] and finally…”

Section: Numerical Examples and Checkssupporting

confidence: 73%

“…After the proper evaluation of the finite volume two-loop sunsetintegrals using two different methods [40] the masses and decay constants were treated in both the unquenched [41] and partially quenched [42] case. In particular the integral notation at finite volume we use is defined in [42].…”

Section: Jhep11(2015)017mentioning

confidence: 99%

“…Partial quenching and the quark flow techniques we have used for the different cases is discussed to some extent in section 5. For a discussion on finite volume and the notation used there we refer to [42]. Our analytical results are described in section 6, in particular we clarify the definitions of the decay constant and vacuum expectation value used in terms of quark fields.…”

Section: Jhep11(2015)017mentioning

confidence: 99%

“…For the unquenced case obviously m 4 = m 1 . The labeling is similar to those used in three flavour PQChPT [31][32][33]42]. In the formulas we use instead the quantities…”

Section: Jhep11(2015)017mentioning

confidence: 99%

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Finite volume and partially quenched QCD-like effective field theories

Bijnens

Rössler

2015

J. High Energ. Phys.

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We present a calculation of the meson masses, decay constants and quarkantiquark vacuum expectation value for the three generic QCD-like chiral symmetry break-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 infinite 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.

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Section: Numerical Examples and Checkssupporting

confidence: 73%

Section: Jhep11(2015)017mentioning

confidence: 99%

Section: Jhep11(2015)017mentioning

confidence: 99%

“…For the unquenced case obviously m 4 = m 1 . The labeling is similar to those used in three flavour PQChPT [31][32][33]42]. In the formulas we use instead the quantities…”

Section: Jhep11(2015)017mentioning

confidence: 99%

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Finite volume and partially quenched QCD-like effective field theories

Bijnens

Rössler

2015

J. High Energ. Phys.

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“…They are also available in the program package CHIRON [6,7]. The precise definitions for the Minkowski versions we use in our work discussed here can be found in [4,5].…”

Section: Finite Volume Integralsmentioning

confidence: 99%

Finite volume for masses and decay constants

Roessler¹,

Bijnens²

2016

Proceedings of the 8th International Workshop on Chiral Dynamics — PoS(CD15)

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We discuss finite volume effects and partial quenching for Chiral Perturbation Theory in the mesonic sector. The effects are computed in terms of analytical expressions for masses, decay constants and vacuum expectation values (VEVs) to two-loop order. Numerical examples are presented for a number of interesting and relevant cases. All numerical programs are publically available, the prospects of a combination of these studies with lattice gauge theory computations are discussed briefly.

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FK/Fπ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles

et al. 2020

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We report the results of a lattice quantum chromodynamics calculation of F K =F π using Möbius domain-wall fermions computed on gradient-flowed N f ¼ 2 þ 1 þ 1 highly improved staggered quark (HISQ) ensembles. The calculation is performed with five values of the pion mass ranging from 130 ≲ m π ≲ 400 MeV, four lattice spacings of a ∼ 0.15, 0.12, 0.09 and 0.06 fm and multiple values of the lattice volume. The interpolation/extrapolation to the physical pion and kaon mass point, the continuum, and infinite volume limits are performed with a variety of different extrapolation functions utilizing both the relevant mixed-action effective field theory expressions as well as discretization-enhanced continuum chiral perturbation theory formulas. We find that the a ∼ 0.06 fm ensemble is helpful, but not necessary to achieve a subpercent determination of F K =F π. We also include an estimate of the strong isospin breaking corrections and arrive at a final result of FKþ =Fˆπþ ¼ 1.1942ð45Þ with all sources of statistical and systematic uncertainty included. This is consistent with the Flavour Lattice Averaging Group average value, providing an important benchmark for our lattice action. Combining our result with experimental measurements of the pion and kaon leptonic decays leads to a determination of jV us j=jV ud j ¼ 0.2311ð10Þ.

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

Cited by 8 publications

References 45 publications

Finite volume and partially quenched QCD-like effective field theories

Finite volume and partially quenched QCD-like effective field theories

Finite volume for masses and decay constants

FK/Fπ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles

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