RT Journal Article T1 Linearly polarized gluons at next-to-next-to leading order and the Higgs transverse momentum distribution A1 Gutiérrez Reyes, Daniel A1 Leal Gomez, Sergio A1 Scimemi, Ignazio A1 Vladimirov, Alexey AB We calculate the small-b (or large-qT) matching of transverse momentum dependent (TMD) distribution for linearly polarized gluons to the integrated gluon distributions at the next -to-next -to-leading order (NNLO). This is the last missing part for the complete NNLO prediction of the Higgs spectrum within TMD factorization. We discuss the numerical impact of the correction so derived to the qT-differential cross-section for Higgs boson production and to the positivity bound for linearly polarized gluon transverse momentum distribution. PB Springer SN 1029-8479 YR 2019 FD 2019-11-21 LK https://hdl.handle.net/20.500.14352/6085 UL https://hdl.handle.net/20.500.14352/6085 LA eng NO © The Authors.D.G.R., S.L.G. and I.S. are supported by the Spanish MECD grant FPA2016-75654-C2-2-P. This project has received funding from the European Union Horizon 2020 research and innovation program under grant agreement No 824093 (STRONG-2020). D.G.R. acknowledges the support of the Universidad Complutense de Madrid through the predoctoral grant CT17/17-CT18/17. S.L.G. is supported by the Austrian Science Fund FWF under the Doctoral Program W1252-N27 Particles and Interactions. NO Unión Europea. H2020 NO Ministerio de Economía y Competitividad (MINECO) NO Universidad Complutense de Madrid NO Austrian Science Fund (FWF) DS Docta Complutense RD 2 may 2024