computefpsOS: Computes the pseudoscalar decay constant for the Osterwalder...

In hadron: Analysis Framework for Monte Carlo Simulation Data in Physics

Computes the pseudoscalar decay constant for the Osterwalder Seiler case from the pseudoscalar amplitude and mass

Description

From a mass and amplitude determination (using matrixfit) the pseudoscalar decay constant is determined for the case of Osterwalder Seiler (OS) fermions from the AS and SS amplitude (in the twisted basis), ZA and the OS pion mass.

Usage

computefpsOS(mfit, Kappa = sqrt(0.5), normalisation = "cmi",
  boot.fit = TRUE, ZA = 1, ZAboot, dZA)

Arguments

mfit	An object of type matrixfit generated with matrixfit. The correlation matrix (SS, SA, AS, AA) must have been analysed, where the correlators are in the twisted basis.
Kappa	The kappa-value of the run, needed only if normalisation="cmi".
normalisation	normalisation of the correlators. If set to "cmi" the kappa value must be specified.
boot.fit	If set to FALSE, the computation is not bootstrapped, even if the matrixfit or gevp.amplitude contain bootstrap samples. This is a useful time-saver if error information is not strictly necessary. Of course, this affects the return values related to the bootstrap, which are set to NA.
ZA	The value of the renormalisation constant ZA.
ZAboot	Bootstrap samples for ZA. If they are provided, they are used for computing fps, if not, bootstrap samples are generated from dZA. If both are missing, the error of ZA is not taken into account.
dZA	The value of the (normally distributed) error of the renormalisation constant ZA.

Details

The pseudoscalar decay constant is computed from

% fpsOS = sqrt(2) kappa ZA <0|A|pi>/mps

for normalisation="cmi" or

% fpsOS = ZA <0|A|pi>/mps

expecting physical normalisation of the amplitudes.

Value

If mfit is available, this object will be returned but with additional objects added: fpsOS, fpsOS.tsboot, normalistaion, ZA, ZAboot and kappa if applicable.

Author(s)

Carsten Urbach, [e-mail]

See Also

matrixfit

hadron documentation built on Sept. 9, 2022, 5:06 p.m.