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Transversity parton distribution functions from lattice QCD

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arxiv 1807.00232 v1 pith:CEUAVBTQ submitted 2018-06-30 hep-lat hep-exhep-phnucl-exnucl-th

Constantia Alexandrou , Krzysztof Cichy , Martha Constantinou , Karl Jansen , Aurora Scapellato , Fernanda Steffens This is my paper · ORCID
classification hep-lathep-exhep-phnucl-exnucl-th
keywords latticecalculationdistributionpartontransversityvaluecalculationsdirect
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present the first direct calculation of the transversity parton distribution function within the nucleon from lattice QCD. The calculation is performed using simulations with the light quark mass fixed to its physical value and at one value of the lattice spacing. Novel elements of the calculations are non-perturbative renormalization and extraction of a formula for the matching to light-cone PDFs. Final results are presented in the $\overline{\rm MS}$ scheme at a scale of $\sqrt{2}$ GeV.

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Forward citations

Cited by 5 Pith papers

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  3. Parton Distribution Functions from Ioffe time pseudo-distributions

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    A dynamical lattice QCD calculation using Ioffe-time pseudo-distributions produces an isovector nucleon valence PDF and first two moments at M_pi ~ 400 MeV, with estimates of lattice-spacing and finite-volume systematics.

  4. Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET

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    Tikhonov regularization with L-curve parameter choice stabilizes the ill-conditioned limited inverse Fourier transform in LaMET and recovers pion quasi distribution amplitudes consistent with physics-driven lambda-ext...

  5. Mapping Parton Distributions of Hadrons with Lattice QCD

    hep-lat 2025-06 accept

    A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.

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