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Utilities for muon g-2 analyses in lattice QCD.

Project description

This module contains a small number of tools useful for analyzing
contributions to the muon's magnetic moment from (lattice) QCD vacuum
polarization. The general technique is described in arXiv:1403.1778.
The functions or classes include:

moments(G) -- compute moments of jj correlator G.
mom2taylor(G) -- convert moments in G into Taylor coefficients
for q2-expansion.
taylor2mom(G) -- convert Taylor expansion coefficients G into moments.
vacpol(G) -- create a Pade approximant for the subtracted
vacuum polarization (PI-hat) from the jj correlator
whose moments (or Taylor coefs) are in G.
a_mu(pihat, Q) -- compute the contribution to the muon's g-2
anomaly from function pihat (usually built by vacpol).
pade_gvar(f,m,n)-- general-purpose code for determining Pade approximants
to a power series whose coefficients are GVars.
pade_svd(f,m,n) -- general-purpose code for determining Pade approximants
for a power series whose coefficients are floats.
Uses SVD regularization to stabilize results when
the input data are noisy.

Project details


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