Update on the sea contributions to hadron polarizabilities via reweighting

Walter Freeman; Andrei Alexandru; Frank X. Lee; Michael Lujan

Update on the sea contributions to hadron polarizabilities via reweighting

Walter Freeman, Andrei Alexandru, Frank X. Lee, Michael Lujan

Research output: Contribution to journal › Article › peer-review

Abstract

We have made significant progress on extending lattice QCD calculation of the polarizability of the neutron and other hadrons to include the effects of charged dynamical quarks. This is done by perturbatively reweighting the charges of the sea quarks to couple them to the background field. The dominant challenge in such a calculation is stochastic estimation of the weight factors, and we discuss the difficulties in this estimation. Here we use an extremely aggressive dilution scheme with N = 124,416 sources per configuration to reduce the stochastic noise to a manageable level. We find that α_E = 2.70(55) × 10∼^-4fm³ for the neutron on one ensemble. We show that lowmode substitution can be used in tandem with dilution to construct an even better estimator, and introduce the offdiagonal matrix element mapping technique for predicting estimator quality.

Original language	English (US)
Article number	154
Journal	Proceedings of Science
Volume	Part F130500
State	Published - 2014
Externally published	Yes

ASJC Scopus subject areas

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abstract = "We have made significant progress on extending lattice QCD calculation of the polarizability of the neutron and other hadrons to include the effects of charged dynamical quarks. This is done by perturbatively reweighting the charges of the sea quarks to couple them to the background field. The dominant challenge in such a calculation is stochastic estimation of the weight factors, and we discuss the difficulties in this estimation. Here we use an extremely aggressive dilution scheme with N = 124,416 sources per configuration to reduce the stochastic noise to a manageable level. We find that αE = 2.70(55) × 10∼-4fm3 for the neutron on one ensemble. We show that lowmode substitution can be used in tandem with dilution to construct an even better estimator, and introduce the offdiagonal matrix element mapping technique for predicting estimator quality.",

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AU - Alexandru, Andrei

AU - Lee, Frank X.

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N2 - We have made significant progress on extending lattice QCD calculation of the polarizability of the neutron and other hadrons to include the effects of charged dynamical quarks. This is done by perturbatively reweighting the charges of the sea quarks to couple them to the background field. The dominant challenge in such a calculation is stochastic estimation of the weight factors, and we discuss the difficulties in this estimation. Here we use an extremely aggressive dilution scheme with N = 124,416 sources per configuration to reduce the stochastic noise to a manageable level. We find that αE = 2.70(55) × 10∼-4fm3 for the neutron on one ensemble. We show that lowmode substitution can be used in tandem with dilution to construct an even better estimator, and introduce the offdiagonal matrix element mapping technique for predicting estimator quality.

AB - We have made significant progress on extending lattice QCD calculation of the polarizability of the neutron and other hadrons to include the effects of charged dynamical quarks. This is done by perturbatively reweighting the charges of the sea quarks to couple them to the background field. The dominant challenge in such a calculation is stochastic estimation of the weight factors, and we discuss the difficulties in this estimation. Here we use an extremely aggressive dilution scheme with N = 124,416 sources per configuration to reduce the stochastic noise to a manageable level. We find that αE = 2.70(55) × 10∼-4fm3 for the neutron on one ensemble. We show that lowmode substitution can be used in tandem with dilution to construct an even better estimator, and introduce the offdiagonal matrix element mapping technique for predicting estimator quality.

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