Eur. Phys. J. C (2006) 47: 429-435
https://doi.org/10.1140/epjc/s2006-02586-6

Theoretical Physics

Scalar Higgs boson production in fusion of two off-shell gluons

¹ Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Russia
² Faculty of Physics, Moscow State University, 119992, Moscow, Russia
³ Institute of Nuclear Physics, PAN, 31-342, Cracow, Poland
⁴ University of Rzeszów, 35-959, Rzeszów, Poland

^* e-mail: rpasech@theor.jinr.ru

Received: 6 April 2006
Revised: 9 May 2006
Published online: 27 June 2006

Abstract

The amplitude for scalar Higgs boson production in the fusion of two off-shell gluons is calculated including finite (not infinite) masses of quarks in the triangle loop. In comparison to the effective Lagrangian approach, we have found a new term in the amplitude. The matrix element found can be used in the k_⊥-factorization approach to the Higgs boson production. The results are compared with the calculations for on-shell gluons. Small deviations from the cos²φ-dependence are predicted. The off-shell effects found are practically negligible.