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Non-perturbative renormalization of O(a) improved tensor currents

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arxiv 1910.06759 v1 pith:6FJPBYLY submitted 2019-10-15 hep-lat

Non-perturbative renormalization of O(a) improved tensor currents

Leonardo Chimirri (1) , Patrick Fritzsch (2) , Jochen Heitger (3) , Fabian Joswig (3) , Marco Panero (4 , 5) , Carlos Pena (6) , David Preti (5) ((1) DESY Zeuthen
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(2) CERN (3) U. Muenster (4) U. Turin (5) INFN Turin (6) Autonoma U. Madrid)
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keywords currentsrenormalizationlatticetensorfactorgroupimprovedimprovement
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We present our progress in the non-perturbative O(a) improvement and renormalization of tensor currents in three-flavor lattice QCD with Wilson-clover fermions and tree-level Symanzik improved gauge action. The mass-independent O(a) improvement factor of tensor currents is determined via a Ward identity approach, and their renormalization group running is calculated via recursive finite-size scaling techniques, both implemented within the Schr\"odinger functional framework. We also address the matching factor between bare and renormalization group invariant currents for a range of lattice spacings < 0.1 fm, relevant for phenomenological large-volume lattice QCD applications.

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