https://doi.org/10.1140/epjc/s10052-021-08902-6
Regular Article – Theoretical Physics
Forward Higgs production within high energy factorization in the heavy quark limit at next-to-leading order accuracy
1
Departamento de Actuaria, Física y Matemáticas, Universidad de las Americas Puebla, Santa Catarina Martir, 72820, Puebla, Mexico
2
Institute of Nuclear Physics, Polish Academy of Sciences, ul. Radzikowskiego 152, 31-342, Kraków, Poland
Received:
15
November
2020
Accepted:
22
January
2021
Published online:
2
February
2021
We use Lipatov’s high energy effective action to determine the next-to-leading order corrections to Higgs production in the forward region within high energy factorization making use of the infinite top mass limit. Our result is based on an explicit calculation of real corrections combined with virtual corrections determined earlier by Nefedov. As a new element we provide a proper definition of the desired next-to-leading order coefficient within the high energy effective action framework, extending a previously proposed prescription. We further propose a subtraction mechanism to achieve for this coefficient a stable cancellation of real and virtual infra-red singularities in the presence of external off-shell legs. Apart from its relevance for direct phenomenological studies, such as high energy resummation of Higgs 
jet configurations, our result will be further of use for the study of transverse momentum dependent factorization in the high energy limit.
© The Author(s) 2021. corrected publication 2021
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