MSHT20 PDFs: LHAPDF grids
Please reference the appropropriate papers if you use the PDFs for a publication.
We provide NLO and NNLO grids for the central fit and 64 eigenvectors sets (corresponding to 32 eigenvectors in the '+' and '-' directions), for a 68% confidence interval. LO grids are provided with 60 eigenvector sets. Grids for the central fit + eigenvectors are provided for αS=0.130 at LO, αS=0.118 and 0.120 at NLO and αS=0.118 at NNLO.
Note that a list of corrections/updates to the publicly available grids is provided at the end of this page.
MSHT global PDF fit
The MSHT20 PDFs, resulting from a QCD fit up to NNLO order, published in arXiv:2012.04684:
Central + eigenvector sets
MSHT20nnlo_as118     MSHT20nlo_as118     MSHT20nlo_as120     MSHT20lo_as130
Strong coupling and heavy quark mass variations
In addition, alongside the MSHT20 paper we provided central grids for a short ranges of αS values at NLO and NNLO. At NLO αS=0.115-0.122 and at NNLO αS=0.115-0.121, in increments of 0.001. Again for these a formatting issue lead to the αS grid for LHAPDF interpolation being incorrect in version 1 of certain grids. In addition, the set index has been updated in some cases to be better consistent with the LHAPDF numbering system.
Following our paper on the αS and heavy quark mass dependence, published in arXiv:2106.10289, we also provide further LHAPDF 6 grids corresponding to these variations as well as some cases with 3 and 4 flavours only, if you use any of these please reference this paper (as well as the original MSHT20 paper):
Central sets for small αS ranges
MSHT20nnlo_as_smallrange     MSHT20nlo_as_smallrange     MSHT20nnlo_as_smallrange_nf3     MSHT20nlo_as_smallrange_nf3     MSHT20nnlo_as_smallrange_nf4     MSHT20nlo_as_smallrange_nf4
Central sets for large αS ranges
Central sets for mc,b ranges
MSHT20nnlo_mcrange_nf3     MSHT20nnlo_mcrange_nf4     MSHT20nnlo_mcrange_nf5     MSHT20nnlo_mbrange_nf3     MSHT20nnlo_mbrange_nf4     MSHT20nnlo_mbrange_nf5     MSHT20nlo_mcrange_nf3     MSHT20nlo_mcrange_nf4     MSHT20nlo_mcrange_nf5     MSHT20nlo_mbrange_nf3     MSHT20nlo_mbrange_nf4     MSHT20nlo_mbrange_nf5     MSHT20nlo_as120_mcrange_nf3     MSHT20nlo_as120_mcrange_nf4     MSHT20nlo_as120_mcrange_nf5     MSHT20nlo_as120_mbrange_nf3     MSHT20nlo_as120_mbrange_nf4     MSHT20nlo_as120_mbrange_nf5
Central + eigenvector sets for 3 and 4 flavours
MSHT20nnlo_nf3     MSHT20nnlo_nf4     MSHT20nlo_nf3     MSHT20nlo_nf4     MSHT20nlo_as120_nf3     MSHT20nlo_as120_nf4
MSHT20 QED PDF sets
Here we provide PDF sets including QED corrections to DGLAP evolution, and a photon PDF, as described in arXiv:2111.05357. Please reference this, as well as the original MSHT20 publication, if you make use of these sets. These include the baseline set, as well as sets with only the elastic or inelastic photon PDF included. In addition, a set of neutron PDFs, again including the elastic or inelastic photon PDF only, are provided (The set index has again now been updated in some cases to be better consistent with the LHAPDF numbering system):
MSHT20qed_nnlo     MSHT20qed_nnlo_elastic     MSHT20qed_nnlo_inelastic     MSHT20qed_nnlo_neutron     MSHT20qed_nnlo_neutron_elastic     MSHT20qed_nnlo_neutron_inelastic
MSHT20 aN3LO PDF sets
Here we provide PDF sets including approximate N3LO corrections to DGLAP evolution, transition matrix elements, and hard cross sections, as described in arXiv:2207.04739. Please reference this, as well as the original MSHT20 publication, if you make use of these sets. Each of the two sets includes a central set and 52 eigenvector pairs, corresponding to 32 PDF parameters and 20 parameters representing theoretical uncertainties. In the first of these the 5 pairs of parameters representing N3LO K-factors for 5 types of hard scattering process are decorrelted from other parameters, while in the second all 52 parameters are correlated. In both cases the full uncertainty is obtained by considering each of the 52 eigenvector pairs as orthogonal as in the situatuons where only PDF parameters are considered. The grids below are updated with the correction of a minor bug in a non-singlet splitting function leading to very small changes at high-x. The grids below therefore supersede any previous versions of MSHT20aN3LO PDFs downloaded before 22/09/2022.
A formatting issue lead to the αS grid for LHAPDF interpolation being incorrect in version 1 of the baseline MSHT20 (LO to NNLO) grids. This has now been fixed in version 2. For a small selection of sets (MSHT20nnlo_as118, MSHT20lo_as130, MSHT20qed_nnlo_elastic, MSHT20qed_nnlo_neutron) 1-2 eigenvectors were repeated due to an outputting error in the lhapdf grid production. The impact on the PDF uncertainties is very small, at the level of 1% of the PDF error (i.e. if the relative PDF error is 2% then the change is at most 0.02% in the PDF error with respect to the previous result), however this has now been corrected in Dataversion (4,4,3,3) with respectively, for the sets listed above.