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Hagiwara, K., Martin, A. D., Nomura, D. & Teubner, T. (2004). Predictions for g-2 of the muon and alpha(QED)(M(Z**2). Physical Review D 69: 093003.

Author(s) from Durham

Abstract

We calculate g�2 of the muon and the QED coupling alpha(MZ2), by improving the determination of the hadronic vacuum polarization contributions and their uncertainties. We include the recently reanalyzed CMD-2 data on e+e�-->pi+pi�. We carefully combine a wide variety of data for the e+e� production of hadrons and obtain the optimum form of R(s)[equivalent]sigmahad0(s)/sigmapt(s), together with its uncertainty. Our results for the hadronic contributions to g�2 of the muon are amuhad,LO = (692.4�5.9exp�2.4rad)ױ0�10 and amuhad,NLO = (�9.8�0.1exp�0.0rad)ױ0�10, and for the QED coupling Deltaalphahad(5)(MZ2) = (275.5�1.9exp�1.3rad)ױ0�4. These yield (g�2)/2 = 0.00116591763(74), which is about 2.4sigma below the present world average measurement, and alpha(MZ2)�1 = 128.954�0.031. We compare our g�2 value with other predictions and, in particular, make a detailed comparison with the latest determination of g�2 by Davier et al.

References

@1# Muon (g22) Collaboration, G.W. Bennett et al., Phys. Rev.
Lett. 89, 101804 ~2002!; 89, 129903~E! ~2002!.
@2# M. Davier, S. Eidelman, A. Ho�cker, and Z. Zhang, Eur. Phys.
J. C 27, 497 ~2003!.
@3# M. Davier, S. Eidelman, A. Ho�cker, and Z. Zhang, Eur. Phys.
J. C 31, 503 ~2003!.
@4# S. Ghozzi and F. Jegerlehner, Phys. Lett. B 583, 222 ~2004!.
@5# H. Czyz, A. Grzelinska, J.H. Ku�hn, and G. Rodrigo, Eur.
Phys. J. C 27, 563 ~2003!; J.H. Ku�hn and G. Rodingo, ibid.
25, 215 ~2002!; G. Rodrigo, H. Czyz, J.H. Ku�hn, and M.
Szopa, ibid. 24, 71 ~2002!; G. Rodrigo, Acta Phys. Pol. B 32,
3833 ~2001!; G. Rodrigo, A. Gehrmann-De Ridder, M. Guilleaume,
and J.H. Ku�hn, Eur. Phys. J. C 22, 81 ~2001!.
@6# KLOE Collaboration, A. Aloisio et al., hep-ex/0107023;
KLOE Collaboration, B. Valeriani et al., hep-ex/0205046;
KLOE Collaboration, S. Di Falco, Acta Phys. Pol. B 34, 5207
~2003!; KLOE Collaboration, A. Aloisio et al.,
hep-ex/0307051.
@7# BaBar Collaboration, B. Aubert et al., Phys. Rev. D 69,
011103 ~2004!.
@8# M. Davier, in Proceedings of the Workshop SIGHAD03,
Pisa, Italy, 2003 ~to be published!.
@9# KLOE Collaboration, A. Denig, talk at 26th Meeting of Scientific
Committee, Frascati, Italy, 2003; A. Aloisio et al., last
citation of @6#; KLOE Collaboration, A. Denig,
hep-ex/0311012.
@10# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
578, 285 ~2004!.
@11# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
527, 161 ~2002!.
@12# K. Hagiwara, A.D. Martin, D. Nomura, and T. Teubner, Phys.
Lett. B 557, 69 ~2003!.
@13# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
476, 33 ~2000!.
@14# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
466, 385 ~1999!; 508, 217~E! ~2001!.
@15# M.R. Whalley, J. Phys. G 29, A1 ~2003!.
@16# OLYA Collaboration, I.B. Vasserman et al., Yad. Fiz. 30, 999
~1979! @Sov. J. Nucl. Phys. 30, 519 ~1979!#.
@17# OLYA Collaboration, A.D. Bukin et al., Phys. Lett. 73B, 226
~1978!.
@18# OLYA Collaboration, I.A. Koop, Report No. INP-79-67, Novosibirsk,
1979.
@19# OLYA Collaboration, I.B. Vasserman et al., Yad. Fiz. 33, 709
~1981! @Sov. J. Nucl. Phys. 33, 368 ~1981!#.
@20# NA7 Collaboration, S.R. Amendolia et al., Phys. Lett. 138B,
454 ~1984!.
@21# CMD and OLYA Collaborations, L.M. Barkov et al., Nucl.
Phys. B256, 365 ~1985!.
@22# CMD, ND, and ARGUS Collaborations, S.I. Dolinsky et al.,
Phys. Rep. 202, 99 ~1991!.
@23# DM1 Collaboration, A. Quenzer et al., Phys. Lett. 76B, 512
~1978!.
@24# DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321
~1989!.
@25# BCF Collaboration, D. Bollini et al., Lett. Nuovo Cimento
Soc. Ital. Fis. 14, 418 ~1975!.
@26# BCF Collaboration, M. Bernardini et al., Phys. Lett. 46B,
261 ~1973!.
@27# MEA Collaboration, B. Esposito et al., Phys. Lett. 67B, 239
~1977!.
@28# MEA Collaboration, B. Esposito et al., Lett. Nuovo Cimento
Soc. Ital. Fis. 28, 337 ~1980!.
@29# ORSAY-ACO Collaboration, G. Cosme et al., Report No.
LAL-1287, 1976.
@30# CMD-2 Collaboration, S.I. Eidelman, Nucl. Phys. B ~Proc.
Suppl.! 98, 281 ~2001!.
@31# SND Collaboration, M.N. Achasov et al., Phys. Lett. B 559,
171 ~2003!.
@32# SND Collaboration, M.N. Achasov et al., Eur. Phys. J. C 12,
25 ~2000!.
@33# SND Collaboration, M.N. Achasov et al., Report No. BINP-
97-78, Novosibirsk, 1997, hep-ex/9710017.
@34# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
364, 199 ~1995!.
@35# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
460, 242 ~1999!.
@36# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
509, 217 ~2001!.
@37# DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13
~1980!.
@38# DM2 Collaboration, A. Antonelli et al., Z. Phys. C 56, 15
~1992!.
@39# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
434, 426 ~1998!.
@40# SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66,
032001 ~2002!.
@41# SND Collaboration, M.N. Achasov et al., Phys. Rev. D 68,
052006 ~2003!.
@42# CMD Collaboration, L.M. Barkov et al., Report No. Budker-
INP 89-15, Novosibirsk, 1989 ~in Russian!.
@43# OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B,
297 ~1981!.
@44# DM1 Collaboration, B. Delcourt et al., Phys. Lett. 99B, 257
~1981!.
@45# DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13
~1988!.
@46# DM2 Collaboration, J.E. Augustin et al., talk at International
Europhysics Conference on High Energy Physics, Brighton,
England, 1983.
@47# SND Collaboration, M.N. Achasov et al., Phys. Rev. D 63,
072002 ~2001!.
@48# DM1 Collaboration, F. Mane et al., Phys. Lett. 99B, 261
~1981!.
@49# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
551, 27 ~2003!.
@50# M3N Collaboration, C. Paulot, Thesis, Report No. LAL-79/
14, Orsay, 1979.
@51# DM2 Collaboration, D. Bisello et al., in Proceedings of the
International Conference on High Energy Physics, Singapore,
1990, Report No. LAL-90/35, Orsay, 1990.
@52# OLYA Collaboration, L.M. Kurdadze et al., JETP Lett. 43,
643 ~1986!.
@53# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
466, 392 ~1999!.
@54# SND Collaboration, M.N. Achasov et al., J. Exp. Theor.
Phys. 96, 789 ~2003!; Report No. BudkerINP2001-34, Novosibirsk,
2001 ~in Russian!.
@55# ORSAY-ACO Collaboration, G. Cosme et al., Phys. Lett.
63B, 349 ~1976!.
@56# gg2 Collaboration, C. Bacci et al., Nucl. Phys. B184, 31
~1981!.
@57# MEA Collaboration, B. Esposito et al., Lett. Nuovo Cimento
Soc. Ital. Fis. 31, 445 ~1981!.
@58# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
562, 173 ~2003!.
@59# SND Collaboration, M.N. Achasov et al., Phys. Lett. B 486,
29 ~2000!.
@60# SND Collaboration, M.N. Achasov et al., Nucl. Phys. B569,
158 ~2000!.
@61# ND Collaboration, S.I. Dolinsky et al., Phys. Lett. B 174,
453 ~1986!.
@62# CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys.
47, 248 ~1988!.
@63# DM1 Collaboration, A. Cordier et al., Phys. Lett. 109B, 129
~1982!.
@64# DM1-ACO Collaboration, A. Cordier et al., Phys. Lett. 81B,
389 ~1979!.
@65# OLYA Collaboration, L.M. Kurdadze et al., JETP Lett. 47,
512 ~1988!.
@66# gg2 Collaboration, C. Bacci et al., Phys. Lett. 95B, 139
~1980!.
@67# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
475, 190 ~2000!.
@68# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
491, 81 ~2000!.
@69# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
489, 125 ~2000!.
@70# DM1 Collaboration, A. Cordier et al., Phys. Lett. 106B, 155
~1981!.
@71# DM1 Collaboration, D. Bisello et al., Phys. Lett. 107B, 145
~1981!.
@72# DM2 Collaboration, M. Schioppa, Thesis, Universita di
Roma ��La Sapienza,�� Rome, 1986.
@73# DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212,
133 ~1988!.
@74# DM2 Collaboration, D. Bisello et al., Nucl. Phys. B ~Proc.
Suppl.! 21, 111 ~1991!.
@75# DM2 Collaboration, D. Bisello et al., Z. Phys. C 52, 227
~1991!.
@76# DM1 Collaboration, F. Mane et al., Phys. Lett. 112B, 178
~1982!.
@77# DM1 Collaboration, F. Mane�, Thesis, Universite� de Paris-
Sud, Report No. LAL 82/46, 1982.
@78# FENICE Collaboration, A. Antonelli et al., Nucl. Phys. B517,
3 ~1998!.
@79# FENICE Collaboration, A. Antonelli et al., Phys. Lett. B 334,
431 ~1994!.
@80# DM2 Collaboration, D. Bisello et al., Nucl. Phys. B224, 379
~1983!.
@81# DM2 Collaboration, D. Bisello et al., Z. Phys. C 48, 23
~1990!.
@82# DM1 Collaboration, B. Delcourt et al., Phys. Lett. 86B, 395
~1979!.
@83# FENICE Collaboration, A. Antonelli et al., Phys. Lett. B 313,
283 ~1993!.
@84# gg2 Collaboration, C. Bacci et al., Phys. Lett. 86B, 234
~1979!.
@85# MEA Collaboration, B. Esposito et al., Lett. Nuovo Cimento
Soc. Ital. Fis. 30, 65 ~1981!.
@86# M3N Collaboration, G. Cosme et al., Nucl. Phys. B152, 215
~1979!.
@87# BARYON-ANTIBARYON Collaboration, M. Ambrosio
et al., Phys. Lett. 91B, 155 ~1980!.
@88# BES Collaboration, J.Z. Bai et al., Phys. Rev. Lett. 84, 594
~2000!.
@89# BES Collaboration, J.Z. Bai et al., Phys. Rev. Lett. 88,
101802 ~2002!.
@90# Crystal Ball Collaboration, Z. Jakubowski et al., Z. Phys. C
40, 49 ~1988!.
@91# Crystal Ball Collaboration, A. Osterheld et al., SLAC-PUB-
4160, 1986.
@92# Crystal Ball Collaboration, C. Edwards et al, SLAC-PUB-
5160, 1990.
@93# LENA Collaboration, B. Niczyporuk et al., Z. Phys. C 15,
299 ~1982!.
@94# MD-1 Collaboration, A.E. Blinov et al., Z. Phys. C 70, 31
~1996!.
@95# DASP Collaboration, H. Albrecht et al., Phys. Lett. 116B,
383 ~1982!.
@96# CLEO Collaboration, R. Ammar et al., Phys. Rev. D 57,
1350 ~1998!.
@97# CUSB Collaboration, E. Rice et al., Phys. Rev. Lett. 48, 906
~1982!.
@98# DESY-Hamburg-Heidelberg-Munich Collaboration, P. Bock
et al., Z. Phys. C 6, 125 ~1980!.
@99# M.L. Swartz, Phys. Rev. D 53, 5268 ~1996!.
@100# H. Burkhardt and B. Pietrzyk, Phys. Lett. B 513, 46 ~2001!.
@101# F. Jegerlehner, hep-ph/0308117.
@102# A. Hoefer, J. Gluza, and F. Jegerlehner, Eur. Phys. J. C 24, 51
~2002!.
@103# J. Gluza, A. Hoefer, S. Jadach, and F. Jegerlehner, Eur. Phys.
J. C 28, 261 ~2003!.
@104# Particle Data Group, K. Hagiwara et al., Phys. Rev. D 66,
010001 ~2002!.
@105# Mini review of Y width, in Particle Data Group @104#.
@106# K. Hagiwara, A.D. Martin, D. Nomura, and T. Teubner ~in
preparation!.
@107# See, for example, the review by K.G. Chetyrkin, J.H. Ku�hn,
and A. Kwiatkowski, Phys. Rep. 277, 189 ~1996!.
@108# R. Alemany, M. Davier, and A. Ho�cker, Eur. Phys. J. C 2, 123
~1998!.
@109# G. D�Agostini, Nucl. Instrum. Methods Phys. Res. A 346,
306 ~1994!.
@110# T. Takeuchi, Prog. Theor. Phys. Suppl. 123, 247 ~1996!.
@111# G. Fedotovitch, in Proceedings of the Workshop SIGHAD03,
Pisa, Italy, 2003 ~to be published!.
@112# V.B. Berestetskii, O.N. Krokhin, and A.K. Khelbnikov, Sov.
Phys. JETP 3, 761 ~1956!.
@113# N.N. Achasov and A.V. Kiselev, Phys. Rev. D 65, 097302
~2002!.
@114# G. Colangelo, M. Finkemeier, and R. Urech, Phys. Rev. D 54,
4403 ~1996!.
@115# NA7 Collaboration, S.R. Amendolia et al., Nucl. Phys. B277,
168 ~1986!.
@116# E.A. Kuraev and Z.K. Silagadze, Yad. Fiz. 58, 1687 ~1995!
@Phys. At. Nucl. 58, 1589 ~1995!#.
@117# A. Ahmedov, G.V. Fedotovich, E.A. Kuraev, and Z.K. Silagadze,
J. High Energy Phys. 09, 008 ~2002!.
@118# A. Pais, Ann. Phys. ~N.Y.! 9, 548 ~1960!.
@119# R.J. Sobie, Z. Phys. C 69, 99 ~1995!; A. Rouge�, ibid. 70, 65
~1996!.
@120# ALEPH Collaboration, R. Barate et al., Z. Phys. C 76, 15
~1997!.
@121# CLEO Collaboration, A. Anastassov et al., Phys. Rev. Lett.
86, 4467 ~2001!.
@122# CMD-2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B
580, 119 ~2004!.
@123# SND Collaboration, M.N. Achasov et al., Phys. Lett. B 537,
201 ~2002!.
@124# S.G. Gorishny, A.L. Kataev, and S.A. Larin, Phys. Lett. B
259, 144 ~1991!; L.R. Surguladze and M.A. Samuel, Phys.
Rev. Lett. 66, 560 ~1991!; 66, 2416~E! ~1991!.
@125# K.G. Chetyrkin, A.H. Hoang, J.H. Ku�hn, M. Steinhauser, and
T. Teubner, Eur. Phys. J. C 2, 137 ~1998!.
@126# K.G. Chetyrkin, J.H. Ku�hn, and M. Steinhauser, Nucl. Phys.
B482, 213 ~1996!.
@127# A.H. Hoang, M. Jezabek, J.H. Ku�hn, and T. Teubner, Phys.
Lett. B 338, 330 ~1994!.
@128# R. Harlander and M. Steinhauser, Comput. Phys. Commun.
153, 244 ~2003!.
@129# M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl.
Phys. B147, 385 ~1979!; B147, 448 ~1979!; B147, 519
~1979!.
@130# M.A. Shifman, Prog. Theor. Phys. Suppl. 131, 1 ~1998!.
@131# K.G. Chetyrkin and J.H. Ku�hn, Phys. Lett. B 248, 359
~1990!.
@132# M. Davier and A. Ho�cker, Phys. Lett. B 419, 419 ~1998!.
@133# A.D. Martin, J. Outhwaite, and M.G. Ryskin, Phys. Lett. B
492, 69 ~2000!; Eur. Phys. J. C 19, 681 ~2001!.
@134# S.I. Eidelman, Nucl. Phys. B ~Proc. Suppl.! 98, 281 ~2001!.
@135# R. Tenchini ~private communication!.
@136# J. Gasser and U.G. Meissner, Nucl. Phys. B357, 90 ~1991!.
@137# S. Narison, Phys. Lett. B 568, 231 ~2003!.
@138# T. Kinoshita, B. Nizic, and Y. Okamoto, Phys. Rev. Lett. 52,
717 ~1984!; Phys. Rev. D 31, 2108 ~1985!.
@139# M. Hayakawa, T. Kinoshita, and A.I. Sanda, Phys. Rev. Lett.
75, 790 ~1995!; Phys. Rev. D 54, 3137 ~1996!.
@140# J. Bijnens, E. Pallante, and J. Prades, Nucl. Phys. B474, 379
~1996!.
@141# M. Hayakawa and T. Kinoshita, Phys. Rev. D 57, 465 ~1998!;
66, 019902~E! ~2002!.
@142# P. Mery, S.E. Moubarik, M. Perrottet, and F.M. Renard, Z.
Phys. C 46, 229 ~1990!; A.I. Studenikin, Phys. Lett. B 267,
117 ~1991!.
@143# R.D. Peccei, Phys. Lett. 136B, 121 ~1984!.
@144# T. Kinoshita and M. Nio, Phys. Rev. Lett. 90, 021803 ~2003!.
@145# T. Kinoshita ~private communication!.
@146# S. Laporta and E. Remiddi, Phys. Lett. B 301, 440 ~1993!.
@147# T. Kinoshita, J. Math. Phys. 3, 650 ~1962!.
@148# T.D. Lee and M. Nauenberg, Phys. Rev. 133, B1549 ~1964!.
@149# B. Krause, Phys. Lett. B 390, 392 ~1997!.
@150# J.A. Mignaco and E. Remiddi, Nuovo Cimento A 60, 519
~1969!.
@151# M. Knecht and A. Nyffeler, Phys. Rev. D 65, 073034 ~2002!.
@152# M. Knecht, A. Nyffeler, M. Perrottet, and E. de Rafael, Phys.
Rev. Lett. 88, 071802 ~2002!.
@153# M. Hayakawa and T. Kinoshita, hep-ph/0112102; see also
Ref. @141#.
@154# J. Bijnens, E. Pallante, and J. Prades, Nucl. Phys. B626, 410
~2002!.
@155# I. Blokland, A. Czarnecki, and K. Melnikov, Phys. Rev. Lett.
88, 071803 ~2002!.
@156# M. Ramsey-Musolf and M.B. Wise, Phys. Rev. Lett. 89,
041601 ~2002!.
@157# A. Nyffeler, hep-ph/0203243.
@158# V.W. Hughes and T. Kinoshita, Rev. Mod. Phys. 71, S133
~1999!.
@159# A. Czarnecki and W.J. Marciano, Nucl. Phys. B ~Proc.
Suppl.! 76, 245 ~1999!.
@160# A. Nyffeler, hep-ph/0305135.
@161# A. Czarnecki, B. Krause, and W.J. Marciano, Phys. Rev. D
52, 2619 ~1995!; Phys. Rev. Lett. 76, 3267 ~1996!.
@162# S. Peris, M. Perrottet, and E. de Rafael, Phys. Lett. B 355,
523 ~1995!.
@163# M. Knecht, S. Peris, M. Perrottet, and E. de Rafael, J. High
Energy Phys. 11, 003 ~2002!.
@164# A. Czarnecki, W.J. Marciano, and A. Vainshtein, Phys. Rev.
D 67, 073006 ~2003!.
@165# J.H. Ku�hn and M. Steinhauser, Phys. Lett. B 437, 425 ~1998!.
@166# H. Burkhardt and B. Pietrzyk, in Proceedings of the Workshop
SIGHAD03, Pisa, Italy, 2003 ~to be published!.
@167# Z. Zhao, in Proceedings of the Workshop SIGHAD03, Pisa,
Italy, 2003 ~to be published!.
@168# E.P. Solodov, hep-ex/0107027.
@169# Muon (g22) Collaboration, G.W. Bennett et al., Phys. Rev.
Lett. 92, 161802 ~2004!.
@170# K. Melnikov and A. Vainshtein, hep-ph/0312226.
@171# T. Kinoshita and M. Nio, hep-ph/0402206.
@172# C. Amsler, in Particle Data Group @104#.
@173# J. Bijnens, Int. J. Mod. Phys. A 8, 3045 ~1993!.
@174# See, for example, J.J. Sakurai, Currents and Mesons ~University
of Chicago Press, Chicago, 1969!; H.B. O�Connell, B.C.
Pearce, A.W. Thomas, and A.G. Williams, Prog. Part. Nucl.
Phys. 39, 201 ~1997!.
@175# S. Eidelman and F. Jegerlehner, Z. Phys. C 67, 585 ~1995!; K.
Adel and F.J. Yndura�in, hep-ph/9509378; M. Davier and A.
Ho�cker, Phys. Lett. B 435, 427 ~1998!; S. Eidelman and F.
Jegerlehner, cited in F. Jegerlehner, hep-ph/9901386.
@176# D.H. Brown and W.A. Worstell, Phys. Rev. D 54, 3237
~1996!; S. Narison, Phys. Lett. B 513, 53 ~2001!; 526, 414~E!
~2002!; J.F. de Troco�niz and F.J. Yndura�in, Phys. Rev. D 65,
093001 ~2002!; G. Cvetic�, T. Lee, and I. Schmidt, Phys. Lett.
B 520, 222 ~2001!.
@177# F. Jegerlehner, J. Phys. G 29, 101 ~2003!.
@178# F. Jegerlehner, hep-ph/0310234.
@179# M. Steinhauser, Phys. Lett. B 429, 158 ~1998!.
@180# A.D. Martin and D. Zeppenfeld, Phys. Lett. B 345, 558
~1995!; H. Burkhardt and B. Pietrzyk, ibid. 356, 398 ~1995!;
N.V. Krasnikov and R. Rodenberg, Nuovo Cimento Soc. Ital.
Fis., A 111, 217 ~1998!; S. Groote et al., Phys. Lett. B 440,
375 ~1998!; J. Erler, Phys. Rev. D 59, 054008 ~1999!; J.F. de
Troco�niz and F.J. Yndura�in, ibid. 65, 093002 ~2002!.