On the breakdown of eikonal approximation and survival of Reggeization in presence of dimension-5 Higgs-gluon coupling

A bstract 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 forwa...

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Bibliographic Details
Published in:The journal of high energy physics 2024-04, Vol.2024 (4), p.78-46, Article 78
Main Authors: Fucilla, Michael, Nefedov, Maxim A., Papa, Alessandro
Format: Article
Language:English
Subjects:
Amplitudes
Approximation
Classical and Quantum Gravitation
Collisions
Deep Inelastic Scattering or Small-x Physics
Elementary Particles
Gluons
Higgs bosons
High Energy Physics - Phenomenology
High Energy Physics - Theory
Higher-Order Perturbative Calculations
Mathematical analysis
Partons
Physics
Physics and Astronomy
Protons
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Resummation
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP04(2024)078