Treatment of heavy quarks in QCD

Author(s)

de Oliveira, E. G. ^{[1, 2]} ; Martin, A. D. ^[2] ; Ryskin, M. G. ^{[2, 3]} ; Shuvaev, A. G. ^[3]

Affiliation

^[1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil

^[2] Univ Durham, Inst Particle Phys Phenomenol, Durham DH1 3LE - England

^[3] NRC Kurchatov Inst, Petersburg Nucl Phys Inst, St Petersburg 188300 - Russia

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL C; v. 73, n. 10 OCT 25 2013.
• Web of Science Citations: 9

Abstract

We show that to correctly describe the effects of the heavy-quark mass, m(h), in DGLAP evolution, it is necessary to work in the so-called `physical' scheme. In this way, we automatically obtain a smooth transition through the heavy-quark thresholds. Moreover, we show that to obtain NLO accuracy, it is sufficient to account for the heavy-quark mass, m(h), just in the LO (one-loop) splitting function. The use of the (MS) over bar factorization scheme is not appropriate, since at NLO we deal with a mixture of quarks and gluon (that is, the mass of the heavy parton is not well-defined). The formulas for the explicit m(h) dependence of the splitting functions, and for alpha(s), are presented. (AU)

• FAPESP's process: 12/05469-4 - Timely phenomenological studies relevant to the LHC
• Grantee: Emmanuel Gräve de Oliveira
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor