Strong coupling constant with flavor thresholds at four loops in the modified minimal-subtraction scheme

被引:318
作者
Chetyrkin, KG [1 ]
Kniehl, BA [1 ]
Steinhauser, M [1 ]
机构
[1] MAX PLANCK INST PHYS & ASTROPHYS,WERNER HEISENBERG INST,D-80805 MUNICH,GERMANY
关键词
D O I
10.1103/PhysRevLett.79.2184
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present in analytic form the matching conditions for the strong coupling constant alpha(s)((nf))(mu) at the flavor thresholds to three loops in the modified minimal-subtraction scheme. Taking into account the recently calculated coefficient beta(3) Of the Callan-Symanzik beta function of quantum chromodynamics, we thus derive a four-loop formula for alpha(s)((nf))(mu) together with appropriate relationships between the asymptotic scale parameters Lambda((nf)) for different numbers of flavors n(f).
引用
收藏
页码:2184 / 2187
页数:4
相关论文
共 41 条
[1]   CHOOSING AN EXPANSION PARAMETER FOR QUANTUM CHROMODYNAMICS [J].
ABBOTT, LF .
PHYSICAL REVIEW LETTERS, 1980, 44 (24) :1569-1572
[2]   INFRARED SINGULARITIES AND MASSIVE FIELDS [J].
APPELQUIST, T ;
CARAZZONE, J .
PHYSICAL REVIEW D, 1975, 11 (10) :2856-2861
[3]  
Bardeen W.A., COMMUNICATION
[4]   DEEP-INELASTIC SCATTERING BEYOND THE LEADING ORDER IN ASYMPTOTICALLY FREE GAUGE THEORIES [J].
BARDEEN, WA ;
BURAS, AJ ;
DUKE, DW ;
MUTA, T .
PHYSICAL REVIEW D, 1978, 18 (11) :3998-4017
[5]   Particles and field .1. Review of particle physics [J].
Barnett, RM ;
Carone, CD ;
Groom, DE ;
Trippe, TG ;
Wohl, CG ;
Armstrong, B ;
Gee, PS ;
Wagman, GS ;
James, F ;
Mangano, M ;
Monig, K ;
Montanet, L ;
Feng, JL ;
Murayama, H ;
Hernandez, JJ ;
Manohar, A ;
AguilarBenitez, M ;
Caso, C ;
Crawford, RL ;
Roos, M ;
Tornqvist, NA ;
Hayes, KG ;
Hagiwara, K ;
Nakamura, K ;
Tanabashi, M ;
Olive, K ;
Honscheid, K ;
Burchat, PR ;
Shrock, RE ;
Eidelman, S ;
Schindler, RH ;
Gurtu, A ;
Hikasa, K ;
Conforto, G ;
Workman, RL ;
Grab, C ;
Amsler, C .
PHYSICAL REVIEW D, 1996, 54 (01) :1-+
[6]   DECOUPLING OF HEAVY QUARKS IN THE MINIMAL SUBTRACTION SCHEME [J].
BERNREUTHER, W ;
WETZEL, W .
NUCLEAR PHYSICS B, 1982, 197 (02) :228-236
[7]   HEAVY QUARK EFFECTS ON THE PARAMETERS OF QUANTUM CHROMODYNAMICS DEFINED BY MINIMAL SUBTRACTION [J].
BERNREUTHER, W .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1983, 20 (04) :331-333
[8]   DECOUPLING OF HEAVY QUARKS IN QUANTUM CHROMODYNAMICS [J].
BERNREUTHER, W .
ANNALS OF PHYSICS, 1983, 151 (01) :127-162
[9]   LOWEST ORDER DIVERGENT GRAPHS IN NU-DIMENSIONAL SPACE [J].
BOLLINI, CG ;
GIAMBIAGI, JJ .
PHYSICS LETTERS B, 1972, B 40 (05) :566-+
[10]   ASYMPTOTIC-BEHAVIOR OF NON-ABELIAN GAUGE THEORIES TO 2-LOOP ORDER [J].
CASWELL, WE .
PHYSICAL REVIEW LETTERS, 1974, 33 (04) :244-246