Finite volume effects for meson masses and decay constants

Colangelo, Gilberto; Dürr, Stephan; Haefeli, Christoph

doi:10.1016/j.nuclphysb.2005.05.015

Cited by 290 publications

(544 citation statements)

References 57 publications

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“…However, they are only the first term of an expansion. Hence, the question is: how large is the residual uncertainty in FSE aµ q lo [52] lo [53] nlo [53] …”

Section: Discussion Of Systematic Errorsmentioning

confidence: 99%

“…(44). This happens in particular in the following cases: when computing directly af PS as a function of am PS , when including the effects due to a non-vanishing am PCAC , when including higher orders in Finite Size Effects (FSE) calculations, as computed in [53], or when we will eventually study the scaling dependence for different lattice spacings a. In all these cases the χPT formulae can be expressed in the more general form G i ( y, x, θ) = 0 and the errors are given by the formula [54]:…”

Section: Methods Amentioning

confidence: 99%

“…[52] and is also discussed in ref. [53] from which we take our notation (except that our normalisation of f π is 130.7 MeV). In eqs.…”

Section: Chiral Perturbation Theory Analysis Of F Ps and M Psmentioning

confidence: 99%

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Dynamical twisted mass fermions with light quarks: simulation and analysis details

Boucaud

Dimopoulos

Farchioni

et al. 2008

Computer Physics Communications

170

147

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In a recent paper [1] we presented precise lattice QCD results of our European Twisted Mass Collaboration (ETMC). They were obtained by employing two mass-degenerate flavours of twisted mass fermions at maximal twist. In the present paper we give details on our simulations and the computation of physical observables. In particular, we discuss the problem of tuning to maximal twist, the techniques we have used to compute correlators and error estimates. In addition, we provide more information on the algorithm used, the autocorrelation times and scale determination, the evaluation of disconnected contributions and the description of our data by means of chiral perturbation theory formulae.

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“…However, they are only the first term of an expansion. Hence, the question is: how large is the residual uncertainty in FSE aµ q lo [52] lo [53] nlo [53] …”

Section: Discussion Of Systematic Errorsmentioning

confidence: 99%

Section: Methods Amentioning

confidence: 99%

See 1 more Smart Citation

Dynamical twisted mass fermions with light quarks: simulation and analysis details

Boucaud

Dimopoulos

Farchioni

et al. 2008

Computer Physics Communications

170

147

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show abstract

“…[71] and is also discussed in Ref. [72] from which we take our notation (except that our normalisation of f π is 130.7 MeV). In Eqs.…”

Section: F Ps and M Ps As A Function Of The Quark Massmentioning

confidence: 99%

Dynamical twisted mass fermions with light quarks

et al. 2007

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We present results of dynamical simulations of N f = 2 degenerate Wilson twisted mass quarks at maximal twist in the range of pseudo scalar masses 300 MeV m PS 550 MeV. Reaching such small masses was made possible owing to a recently developed variant of the HMC algorithm. The simulations are performed at one value of the lattice spacing a 0.1 fm. In order to have O(a) improvement and aiming at small residual O(a 2 ) cutoff effects, the theory is tuned to maximal twist by requiring the vanishing of the untwisted quark mass. Precise results for the pseudo scalar decay constant and the pseudo scalar mass are confronted with chiral perturbation theory predictions and the low energy constants F ,l 3 andl 4 are evaluated with small statistical errors.

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“…This underestimate can be by as much as a factor of 2 for our range of M L (see, e.g., Ref. [5]). Thus, our alternative procedure for accounting for FV errors is to take the central value from the fits including FV effects, and take the systematic error to be the size of the FV shift, namely 0.6%.…”

mentioning

confidence: 65%