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Chiral extrapolation of the charged-pion magnetic polarizability with Padé approximant

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dc.contributor.authorHe, F.
dc.contributor.authorLeinweber, D.B.
dc.contributor.authorThomas, A.W.
dc.contributor.authorWang, P.
dc.date.issued2021
dc.description.abstractThe background magnetic-field formalism of lattice QCD has been used recently to calculate the magnetic polarizability of the charged pion. These nf=2+1 numerical simulations are electroquenched, such that the virtual sea-quarks of the QCD vacuum do not interact with the background field. To understand the impact of this, we draw on partially quenched chiral perturbation theory. In this case, the leading term proportional to 1/Mπ arises at tree level from L4. To describe the results from lattice QCD, while maintaining the exact leading terms of chiral perturbation theory, we introduce a Padé approximant designed to reproduce the slow variation observed in the lattice QCD results. Two-loop contributions are introduced to assess the systematic uncertainty associated with higher-order terms of the expansion. Upon extrapolation, the magnetic polarizability of the charged pion at the physical pion mass is found to be βπ±=−1.70(14)stat(25) syst×10−4  fm3, in good agreement with the recent experimental measurement.
dc.description.statementofresponsibilityFangcheng He, Derek B. Leinweber, Anthony W. Thomas and Ping Wang
dc.identifier.citationPhysical Review D, 2021; 104(5):054506-1-054506-7
dc.identifier.doi10.1103/physrevd.104.054506
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.orcidLeinweber, D.B. [0000-0002-4745-6027]
dc.identifier.orcidThomas, A.W. [0000-0003-0026-499X]
dc.identifier.urihttps://hdl.handle.net/2440/132940
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.granthttp://purl.org/au-research/grants/arc/LE190100021
dc.relation.granthttp://purl.org/au-research/grants/arc/LE160100051
dc.relation.granthttp://purl.org/au-research/grants/arc/DP180100497
dc.relation.granthttp://purl.org/au-research/grants/arc/DP210103706
dc.relation.granthttp://purl.org/au-research/grants/arc/DP190102215
dc.relation.granthttp://purl.org/au-research/grants/arc/DP150103164
dc.rights© 2021 American Physical Society
dc.source.urihttps://doi.org/10.1103/physrevd.104.054506
dc.titleChiral extrapolation of the charged-pion magnetic polarizability with Padé approximant
dc.typeJournal article
pubs.publication-statusPublished

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