Light quark mediated Higgs boson threshold production in the next-to-leading logarithmic approximation

A bstract We study the amplitude of the Higgs boson production in gluon fusion mediated by a light quark loop and evaluate the logarithmically enhanced radiative corrections to the next-to-leading logarithmic approximation which sums up the terms of the form αₛⁿln²ⁿ⁻¹(mH/mq) α s n ln 2 n − 1 m H / m q to all orders in the strong coupling constant. This result is used for the calculation of the process cross section near the production threshold and gives a quantitative estimate of the three and four-loop bottom quark contribution to the Higgs boson production at the Large Hadron Collider.