Here we compare the PDFs:
PDF comparison at 2 GeV
All flavours
NNPDF 3.1 NNLO
3.0 dataset
Flavour Basis
Absolute
Normalized
Evolution Basis
Absolute
Normalized
PDF comparison at 100 GeV
All flavours
NNPDF 3.1 NNLO
3.0 dataset
Flavour Basis
Absolute
Normalized
Evolution Basis
Absolute
Normalized
Luminosities at \(\sqrt{s}=13000 GeV\)
Luminosity ratios
We plot:
\[
L(M_{X},s)=\sum_{ij}^{\textrm{channel}}\frac{1}{s}
\int_{\tau}^{1}\frac{dx}{x}
f_{i}(x,M_{X})
f_{j}(\frac{\tau}{x},M_{X})
\]
Where \(i\) and \(j\) are summed as follows:
For \(gg\), \(i = j = g\).
For \(qq\) i and j run over all possible quark and antquark combinations.
For \(qg\), i and j are all possible combinations of a quark ant antiquark and a gluon.
For \(q\bar{q}\), \(i\) and \(j\) correspond to a quark and antiquark of the same flavour.
gg
gq
qq
qqbar
Luminosity uncertainties
We plot the percentage uncertainty of
\[
\tilde{L}(M_{X},y,s)=
\sum_{ij}^{\textrm{channel}}\frac{1}{s}
f_{i}\left(\frac{M_{x}e^{y}}{\sqrt{x}},M_{x}\right)
f_{j}\left(\frac{M_{x}e^{-y}}{\sqrt{x}},M_{x}\right)
\]
in the allowed kinematic range.
gg
NNPDF 3.1 NNLO
3.0 dataset
gq
NNPDF 3.1 NNLO
3.0 dataset
qq
NNPDF 3.1 NNLO
3.0 dataset
qqbar
NNPDF 3.1 NNLO
3.0 dataset