The production cross-sections of Υ mesons, namely Υ(1S), Υ(2S) and Υ(3S), in pp collisions at $$ \sqrt{s} $$
s
= 5 TeV are measured with a data sample corresponding to an integrated luminosity of 9.13 ± 0.18 pb−1 collected by the LHCb detector. The Υ mesons are reconstructed in the decay mode Υ → μ+μ−. Double differential cross-sections times branching fractions, as functions of the transverse momentum pT and the rapidity y of the Υ mesons, are measured in the range pT< 20 GeV/c and 2.0 < y < 4.5. The results integrated over these pT and y ranges are$$ \sigma \left(\textrm{Y}(1S)\right)\times \mathcal{B}\left(\textrm{Y}(1S)\to {\mu}^{+}{\mu}^{-}\right)=2101\pm 33\pm 83\ \textrm{pb}, $$$$ \sigma \left(\textrm{Y}(2S)\right)\times \mathcal{B}\left(\textrm{Y}(2S)\to {\mu}^{+}{\mu}^{-}\right)=526\pm 20\pm 21\ \textrm{pb}, $$$$ \sigma \left(\textrm{Y}(3S)\right)\times \mathcal{B}\left(\textrm{Y}(3S)\to {\mu}^{+}{\mu}^{-}\right)=242\pm 16\pm 10\ \textrm{pb}, $$
σ
Υ
1
S
×
B
Υ
1
S
→
μ
+
μ
−
=
2101
±
33
±
83
pb
,
σ
Υ
2
S
×
B
Υ
2
S
→
μ
+
μ
−
=
526
±
20
±
21
pb
,
σ
Υ
3
S
×
B
Υ
3
S
→
μ
+
μ
−
=
242
±
16
±
10
pb
,
where the first uncertainties are statistical and the second are systematic. The ratios of cross-sections between measurements of two different Υ states and between measurements at different centre-of-mass energies are determined. The nuclear modification factor of Υ(1S) at $$ \sqrt{s} $$
s
= 5 TeV is updated as well using the directly measured cross-section results from this analysis.