cdh: finite size corrections a la Colangelo, Duerr, Haefeli

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

finite size corrections a la Colangelo, Duerr, Haefeli

Description

finite size corrections a la Colangelo, Duerr, Haefeli

Usage

cdh(parm = rep(0, times = 6), rev = -1, aLamb1 = 0.055, aLamb2 = 0.58,
  aLamb3, aLamb4, ampiV, afpiV, aF0, a_fm, L, printit = FALSE,
  incim6 = FALSE, rtilde = c(-1.5, 3.2, -4.2, -2.5, 3.8, 1),
  use.cimpl = TRUE)

Arguments

parm	parameters
rev	rev=-1 corrects from L to L = infinity, rev=+1 the other way around
aLamb1	The four low energy Lambda1-Lambda4constants in lattice units.
aLamb2	see aLamb1.
aLamb3	see aLamb1.
aLamb4	see aLamb1.
ampiV	pseudo scalar mass values to be corrected
afpiV	pseudo scalar decay constant values to be corrected
aF0	af0 in lattice units
a_fm	the value of the lattice spacing in fermi
L	the lattice spatial extent
printit	if set to TRUE the corrections are printed
incim6	in- or exclude the NNNLO correction for the mass
rtilde	the low energy constants rtilde, needed only if incim6=TRUE
use.cimpl	use the four times faster direct c Implementation of the correction routine

Details

see reference for details. We use the simplyfied formulae for the S quantities, see eq. (59) in the reference.

Value

a list with the corrected values for mpi and fpi

Author(s)

Carsten Urbach [e-mail]

References

Gilberto Colangelo, Stephan Durr, Christoph Haefeli, Nucl.Phys.B721:136-174,2005. hep-lat/0503014

Examples

L <- c(24, 24, 24, 24, 32)
mps <- c(0.14448, 0.17261, 0.19858, 0.22276, 0.14320)
fps <- c(0.06577, 0.07169, 0.07623, 0.07924, 0.06730)
aLamb1 <- 0.05
aLamb2 <- 0.5
aLamb3 <- 0.38
aLamb4 <- 0.66
cdhres <- cdh(rev=+1, aLamb1=aLamb1, aLamb2=aLamb2, aLamb3=aLamb3, aLamb4=aLamb4,
              ampiV=mps, afpiV=fps, aF0=fps, a_fm=0.08, L=L, printit=TRUE,
              incim6=FALSE)
cdhres$mpiFV
cdhres$fpiFV

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