On the Universality of the Leading, $1/Q$ Power Corrections in QCD

Details On the Universality of the Leading, $1/Q$ Power Corrections in QCD On the Universality of the Leading, $1/Q$ Power Corrections in QCD

1995-04-06

arxiv.org/abs/hep-ph/9504248v1

Phys.Lett. B357 (1995) 646-652

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages

Scientific paper

10.1016/0370-2693(95)00866-J

We discuss $1/Q$ corrections to hard processes in QCD where $Q$ is a large mass parameter like the total energy in $e^+e^-$ annihilation. The main problem we address ourselves to is whether these corrections to different processes (concentrating for definiteness on the Thrust and the Drell-Yan cross section) can be related to each other in a reliable way so that the phenomenology of the $1/Q$ corrections can be developed. We derive first the relation valid to lowest order using both the renormalon and finite-gauge-boson mass techniques to check its independence on the infrared cut- off procedure. We then argue that the $1/Q$ corrections are due to soft gluons which factorize into a universal factor such that the lowest order relations are preserved in higher orders.

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