Higher-order QCD perturbation theory in different schemes: from FOPT to CIPT to FAPT

被引:61
作者
Bakulev, A. P. [1 ]
Mikhailov, S. V. [1 ]
Stefanis, N. G. [1 ,2 ]
机构
[1] JINR, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
[2] Ruhr Univ Bochum, Inst Theoret Phys 2, Fak Phys & Astron, D-44801 Bochum, Germany
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 06期
关键词
NLO Computations; QCD; Phenomenological Models; RENORMALIZATION-GROUP ANALYSIS; TAU-LEPTON DECAY; HEAVY-QUARK; ANALYTIC APPROACH; BETA-FUNCTION; MASS; PION; CONTINUATION; ALPHA(S); CURRENTS;
D O I
10.1007/JHEP06(2010)085
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Results on the resummation of non-power-series expansions of the Adler function of a scalar, D-S, and a vector, D-V, correlator are presented within fractional analytic perturbation theory (FAPT). The first observable can be used to determine the decay width Gamma(H -> b (b) over bar) of a scalar Higgs boson to a bottom-antibottom pair, while the second one is relevant for the e(+)e(-) annihilation cross section. The obtained estimates are compared with those from fixed-order (FOPT) and contour-improved perturbation theory (CIPT), working out the differences. We prove that although FAPT and CIPT are conceptually different, they yield identical results. The convergence properties of these expansions are discussed and predictions are extracted for the resummed series of R-S and D-V using one- and two-loop coupling running, and making use of appropriate generating functions for the coefficients of the perturbative series.
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页数:38
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