Staggered chiral perturbation theory at next-to-leading order

Sharpe, Stephen R.; Water, Ruth S. Van de

doi:10.1103/physrevd.71.114505

Cited by 81 publications

(110 citation statements)

References 47 publications

Supporting

Mentioning

108

Contrasting

Order By: Relevance

“…A staggered version of chiral perturbation theory [35] has been developed to extract chiral LECs from the pseudoscalar spectrum. It attempts at reproducing the fourth-rooting of the fermion determinant and includes many other effects (lattice spacing, finite-volume effects, taste-breaking terms), leading to a number of LECs much larger than in continuum unstaggered χPT.…”

Section: Latticementioning

confidence: 99%

Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Descotes-Genon

2007

Eur. Phys. J. C

View full text Add to dashboard Cite

Chiral symmetry breaking may exhibit significantly different patterns in two chiral limits: N f = 2 massless flavours (m u = m d = 0, m s physical) and N f = 3 massless flavours (m u = m d = m s = 0). Such a difference may arise due to vacuum fluctuations of ss pairs related to the violation of the Zweig rule in the scalar sector, and could yield a numerical competition between contributions counted as leading and next-to-leading order in the chiral expansions of observables. We recall and extend Resummed Chiral Perturbation Theory (ReχPT), a framework that we introduced previously to deal with such instabilities: it requires a more careful definition of the relevant observables and their one-loop chiral expansions. We analyse the amplitudes for low-energy ππ and πK scatterings within ReχPT, which we match in subthreshold regions with dispersive representations obtained from the solutions of Roy and Roy-Steiner equations. Using a frequentist approach, we constrain the quark mass ratio as well as the quark condensate and the pseudoscalar decay constant in the N f = 3 chiral limit. The results mildly favour significant contributions of vacuum fluctuations suppressing the N f = 3 quark condensate compared to its N f = 2 counterpart.

show abstract

Section: Latticementioning

confidence: 99%

Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Descotes-Genon

2007

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…Frequently there are nonphysical operators in the NLO chiral Lagrangians describing discretized fermions. For example, there are of order 100 operators in the NLO staggered chiral Lagrangian [39] compared to order 10 in the Gasser-Leutwyler Lagrangian. These unphysical operators lead to unphysical terms in chiral extrapolation formulas which must somehow be removed to make physical predictions.…”

Section: Introductionmentioning

confidence: 99%

Two meson systems with Ginsparg-Wilson valence quarks

2007

View full text Add to dashboard Cite

Unphysical effects associated with finite lattice spacing and partial quenching may lead to the presence of unphysical terms in chiral extrapolation formulas. These unphysical terms must then be removed during data analysis before physical predictions can be made. In this work, we show that through next-to-leading order, there are no unphysical counterterms in the extrapolation formulas, expressed in lattice-physical parameters, for meson scattering lengths in theories with Ginsparg-Wilson valence quarks. Our work applies to most sea quark discretizations, provided that chiral perturbation theory is a valid approximation. We demonstrate our results with explicit computations and show that, in favorable circumstances, the extrapolation formulas do not depend on the unknown constant C Mix appearing at lowest order in the mixed action chiral Lagrangian. We show that the I 1 KK scattering length does not depend on C Mix in contrast to the I 3=2 K scattering length. In addition, we show that these observables combined with f K =f and the I 2 scattering length share only two linearly independent sets of counterterms, providing a means to test the mixed action theory at one lattice spacing. We therefore make a prediction for the I 1 KK scattering length.

show abstract

“…IV, we give the details of the procedure for the correlator fits. Section V is devoted to the chiralcontinuum extrapolation, which is performed within the framework of rooted staggered chiral perturbation theory [63][64][65][66][67]. We describe and discuss the choice of the functional form used in the extrapolation, the different fitting methods tested, and the choice of parameters and parametrization.…”

mentioning

confidence: 99%

NeutralB-meson mixing from three-flavor lattice quantum chromodynamics: Determination of theSU(3)-breaking ratioξ<

et al. 2012

View full text Add to dashboard Cite

We study SU (3)-breaking effects in the neutral B d -B d and B s -B s systems with unquenched N f = 2 + 1 lattice QCD. We calculate the relevant matrix elements on the MILC collaboration's gauge configurations with asqtad-improved staggered sea quarks. For the valence light-quarks (u, d, and s) we use the asqtad action, while for b quarks we use the Fermilab action. We obtain ξ = f Bs B Bs /f B d B B d = 1.268 ± 0.063. We also present results for the ratio of bag parameters B Bs /B B d and the ratio of CKM matrix elements |V td |/|V ts |. Although we focus on the calculation of ξ, the strategy and techniques described here will be employed in future extended studies of the B mixing parameters ∆M d,s and ∆Γ d,s in the Standard Model and beyond. * megamiz@ugr.es

show abstract

Staggered chiral perturbation theory at next-to-leading order

Cited by 81 publications

References 47 publications

Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Low-energy ππ and πK scatterings revisited in three-flavour resummed chiral perturbation theory

Two meson systems with Ginsparg-Wilson valence quarks

NeutralB-meson mixing from three-flavor lattice quantum chromodynamics: Determination of theSU(3)-breaking ratioξ<

Contact Info

Product

Resources

About