ANALYTICAL ON-SHELL QED RESULTS - 3-LOOP VACUUM POLARIZATION, 4-LOOP BETA-FUNCTION AND THE MUON ANOMALY

被引:65
作者
BROADHURST, DJ
KATAEV, AL
TARASOV, OV
机构
[1] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND
[2] UNIV BIELEFELD,FAK PHYS,W-4800 BIELEFELD 1,GERMANY
关键词
D O I
10.1016/0370-2693(93)91849-I
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present the results of analytical calculations of the 3-loop contributions to the asymptotic photon vacuum polarization function, in the on-shell scheme, and of the 4-loop contributions to the on-shell QED beta-function. These are used to evaluate various 4-loop and 5-loop contributions to the muon anomaly. Our analytical contributions to (g - 2)mu differ significantly from previous numerical results. A very recent numerical re-evaluation of 4-loop muonanomaly contributions has yielded results much closer to ours.
引用
收藏
页码:445 / 452
页数:8
相关论文
共 42 条
[1]   VERIFICATION OF THE 4-LOOP CORRECTIONS TO QED - CALCULATION OF THE 5TH-ORDER VACUUM POLARIZATION COEFFICIENTS [J].
ACHARYA, R ;
NIGAM, BP .
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1992, 18 (08) :L137-L139
[2]   VACUUM POLARIZATION IN QED - REEVALUATION OF 4TH-ORDER COEFFICIENT [J].
ACHARYA, R ;
NIGAM, BP .
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1992, 18 (08) :L135-L136
[3]   ELECTRON AND MUON 1/2(G-2) FROM VACUUM POLARIZATION INSERTIONS [J].
BARBIERI, R ;
REMIDDI, E .
NUCLEAR PHYSICS B, 1975, B 90 (02) :233-266
[4]  
BRADHURST DJ, 1992, Z PHYS C, V54, P599
[5]   GAUGE-INVARIANT ON-SHELL Z2 IN QED, QCD AND THE EFFECTIVE FIELD-THEORY OF A STATIC QUARK [J].
BROADHURST, DJ ;
GRAY, N ;
SCHILCHER, K .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 52 (01) :111-122
[6]  
BROADHURST DJ, UNPUB SICER REDUCE A
[7]   PRECISE VALUE OF SOME QED 8TH-ORDER CONTRIBUTIONS TO THE ELECTRON ANOMALY FROM VACUUM POLARIZATION GRAPHS [J].
CAFFO, M ;
TURRINI, S ;
REMIDDI, E .
PHYSICAL REVIEW D, 1984, 30 (02) :483-485
[8]   NEW APPROACH TO EVALUATION OF MULTI-LOOP FEYNMAN-INTEGRALS - THE GEGENBAUER POLYNOMIAL X-SPACE TECHNIQUE [J].
CHETYRKIN, KG ;
KATAEV, AL ;
TKACHOV, FV .
NUCLEAR PHYSICS B, 1980, 174 (2-3) :345-377
[9]   INTEGRATION BY PARTS - THE ALGORITHM TO CALCULATE BETA-FUNCTIONS IN 4-LOOPS [J].
CHETYRKIN, KG ;
TKACHOV, FV .
NUCLEAR PHYSICS B, 1981, 192 (01) :159-204
[10]   INFRARED RSTAR-OPERATION AND OPERATOR PRODUCT EXPANSION IN THE MINIMAL SUBTRACTION SCHEME [J].
CHETYRKIN, KG .
PHYSICS LETTERS B, 1983, 126 (05) :371-375