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Electroweak Current Operators in Chiral Effective Field Theory

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arxiv 1908.01538 v1 pith:47A5GGTJ submitted 2019-08-05 nucl-th hep-ph

classification nucl-thhep-ph
keywords chiralcurrentcurrentseffectivefieldhighernuclearoperators
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In this proceeding I briefly review current status of the construction of nuclear electro-weak currents within chiral effective field theory. I show that gauge and chiral symmetry requirements lead to the well-known continuity equations for the current and charge operators which, however, get modified at higher orders. Regularization of the current will be also discussed. I demonstrate that implementation of a cutoff regulator in a naive way leads to violation of chiral symmetry. To respect the underlying symmetries I propose to use higher derivative regularization in the nuclear forces and currents.

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    A spectroscopic reparametrization of N4LO contact three-nucleon forces lets nine of thirteen LECs be determined from elastic nucleon-deuteron scattering via an RBF emulator.

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