Abstract
We consider the one-loop effective vertex for the interaction of a gluon with a Reggeized gluon and a Higgs boson in the infinite-top-mass limit, which is described by a dimension-5 non-renormalizable operator. This vertex enters the calculation of differential cross sections for the forward inclusive production of a Higgs boson in high-energy proton-proton collisions, possibly in association with a backward jet or identified hadron, in a framework where next-to-leading logarithms of the energy are resummed to all orders. The effective vertex is extracted from the high-energy behavior of two-to-two amplitudes for the Higgs production in parton-parton collisions and relies on the validity of the Regge form for these amplitudes. We find that the usual eikonal approximation (Gribov prescription) for the Regge limit and the known region-expansion technique in this limit lead to an incomplete result for the amplitude. The discrepancy is traced back to the non-renormalizable nature of the involved operator. However, the Regge limit of the exact QCD amplitude agrees with the Regge-pole exchange form at one loop, nontrivially supporting the Reggeization hypothesis.
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Acknowledgments
We are indebted to Victor S. Fadin for helpful hints and comments. We also want to thank Renaud Boussarie, Francesco G. Celiberto, Saad Nabebaccus, Mohammed M. A. Mohammed, D. Yu. Ivanov, Lech Szymanowski and Samuel Wallon for discussions and Andreas van Hameren, Cyrille Marquet, Jean-Philippe Lansberg, Emmet Byrne and Giulio Falcioni for stimulating questions. The work of A.P. was supported by the INFN/QFT@COLLIDERS Project, Italy. The work of M.F. is supported by the Agence Nationale de la Recherche under the contract ANR-17-CE31-0019. The work of M.N. has been supported by the Marie Skłodowska-Curie action “RadCor4HEF” under grant agreement No. 101065263. All the pictures in this work have been done using JaxoDraw [71].
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Fucilla, M., Nefedov, M.A. & Papa, A. On the breakdown of eikonal approximation and survival of Reggeization in presence of dimension-5 Higgs-gluon coupling. J. High Energ. Phys. 2024, 78 (2024). https://doi.org/10.1007/JHEP04(2024)078
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DOI: https://doi.org/10.1007/JHEP04(2024)078