# Updated lattice results for parton distributions

@article{Alexandrou2017UpdatedLR, title={Updated lattice results for parton distributions}, author={Constantia Alexandrou and Krzysztof Cichy and Martha Constantinou and K. Hadjiyiannakou and Karl Jansen and Fernanda Steffens and Christian Wiese}, journal={Physical Review D}, year={2017}, volume={96}, pages={014513} }

We provide an analysis of the $x$ dependence of the bare unpolarized, helicity, and transversity isovector parton distribution functions (PDFs) from lattice calculations employing (maximally) twisted mass fermions. The $x$ dependence of the calculated PDFs resembles the one of the phenomenological parameterizations, a feature that makes this approach very promising. Furthermore, we apply momentum smearing for the relevant matrix elements to compute the lattice PDFs and find a large improvement…

## 93 Citations

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Abstract
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## References

SHOWING 1-10 OF 68 REFERENCES

### Lattice calculation of parton distributions

- Physics
- 2015

We report on our exploratory study for the direct evaluation of the parton distribution functions from lattice QCD, based on a recently proposed new approach. We present encouraging results using Nf…

### Parton distribution function with nonperturbative renormalization from lattice QCD

- Physics
- 2018

We present lattice results for the isovector unpolarized parton distribution with nonperturbative regularization-invariant momentum-subtraction scheme (RI/MOM) renormalization on the lattice. In the…

### Perturbative renormalization of quasi-parton distribution functions

- Physics, Mathematics
- 2017

In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory. Our calculations…

### First results with twisted mass fermions towards the computation of parton distribution functions on the lattice

- Physics
- 2014

We report on our exploratory study for the evaluation of the parton distribution functions from lattice QCD, based on a new method proposed in Ref.~arXiv:1305.1539. Using the example of the nucleon,…

### Hadron Structure

- Physics
- 2014

This is a review of recent developments in hadron structure w ithin the framework of Lattice QCD. The main focus is on recent achievements in the evaluation of nucleon quantities, such as the axial…

### Flavor structure of the nucleon sea from lattice QCD

- Physics
- 2015

We present the first direct lattice calculation of the isovector sea-quark distributions in the nucleon within the framework of the large-momentum effective field theory proposed recently. We use N f…

### Global parton distributions with nuclear and finite- Q 2 corrections

- Physics
- 2013

We present three new sets of next-to-leading order parton distribution functions (PDFs) determined by global fits to a wide variety of data for hard scattering processes. The analysis includes target…

### Iterative Monte Carlo analysis of spin-dependent parton distributions

- Physics
- 2016

We present a comprehensive new global QCD analysis of polarized inclusive deep-inelastic scattering, including the latest high-precision data on longitudinal and transverse polarization asymmetries…

### Accessing high momentum states in lattice QCD

- Physics
- 2012

Two measures are defined to evaluate the coupling strength of smeared interpolating operators to hadronic states at a variety of momenta. Of particular interest is the extent to which strong overlap…