We review recent developments concerning the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.We first discuss why fully off-shell hadronic form factors should be used for the evaluation of this contribution to the g-2.We then reevaluate the numerically dominant pion-exchange contribution in the framework of large-Nc QCD,using an off-shell pion-photon-photon form factor which fulfills all QCD short-distance constraints,in particular,a new short-distance constraint on the off-shell form factor at the external vertex in g-2,which relates the form factor to the quark condensate magnetic susceptibility in QCD.Combined with available evaluations of the other contributions to hadronic light-by-light scattering this leads to the new result aLbyL;hadμ=(116±40)×10-11,with a conservative error estimate in view of the many still unsolved problems.Some potential ways for further improvements are briefly discussed as well.For the electron we obtain the new estimate aLbyL;hade=(3.9±1.3)×10-14.
参考文献
| [1] | Miller J P;de Rafael E;Roberts B L .[J].Reports on Progress in Physics,2007,70:795. |
| [2] | Jegerlehner F .[J].Acta Physica Polonica B,2007,38:3021. |
| [3] | Jegerlehner F.The Anomalous Magnetic Moment of the Muon[A].Beilin:Springer-Verlag,2008 |
| [4] | Jegerlehner F;Nyffeler A .[J].Physics Reports,2009,477:1. |
| [5] | Davier M et al.[Z]. |
| [6] | Davier M.[A]. |
| [7] | Teubner T.[A]. |
| [8] | Bijnens J;Prades J .[J].Modern Physics Letters A,2007,22:767. |
| [9] | Prades J;de Rafael E;Vainshtein A;Roberts B L,Marciano W J.Lepton Dipole Moments[M].Singapore:World Scientific Publishing Co.Ptc.Ltd,2009:309. |
| [10] | de Rafael E .[J].Physics Letters B,1994,322:239. |
| [11] | Bijnens J;Pallante E;Prades J .[J].Physical Review Letters,1995,75:1447. |
| [12] | Bijnens J;Pallante E;Prades J .[J].Physical Review Letters,1995,75:3781. |
| [13] | [J].Nuclear Physics B,1996,474:379. |
| [14] | [J].Nuclear Physics B,2002,626:410. |
| [15] | Hayakawa M;Kinoshita T;Sanda A I .[J].Physical Review Letters,1995,75:790. |
| [16] | [J].Physical Review D,1996,54:3137. |
| [17] | Hayakawa M.;Kinoshita T. .Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon g-2[J].Physical review.D.Particles and fields,1998(1):465-477. |
| [18] | Hayakawa M;Kinoshita T .[J].Physical Review D,2002,66:019902. |
| [19] | Knecht M;Nyffeler A .[J].Physical Review D,2002,65:073034. |
| [20] | Knecht M et al.[J].Physical Review Letters,2002,88:071802. |
| [21] | Melnikov K;Vainshtein A .[J].Physical Review D,2004,70:113006. |
| [22] | Bijnens J;Persson F .[Z]. |
| [23] | Nyffeler A .[J].Physical Review D,2009,79:073012. |
| [24] | Wess J;Zumino B .[J].Physics Letters B,1971,37:95. |
| [25] | Witten E .[J].Nuclear Physics B,1983,223:422. |
| [26] | Knecht M;Nyffeler A .[J].European Physical Journal C,2001,21:659. |
| [27] | Ioffe B L;Smilga A V .[J].Nuclear Physics B,1984,232:109. |
| [28] | Balitsky I I;Yung A V .[J].Physics Letters B,1983,129:328. |
| [29] | Balitsky I I;Kolesnichenko A V;Yung A V .[J].Yadernaya Fizika,1985,41:282. |
| [30] | Petrov V Y et al.[J].Physical Review D,1999,59:114018. |
| [31] | Ball P.;Braun VM.;Kivel N. .Photon distribution amplitudes in QCD[J].Nuclear physics, B,2003(1/2):263-296. |
| [32] | Dorokhov AE .VA(V)over-tilde correlator within the instanton vacuum model[J].The European physical journal, C. Particles and fields,2005(3):309-317. |
| [33] | Mateu V;Portoles J .Form factors in the radiative pion decay[J].The European physical journal, C. Particles and fields,2007(2):325-338. |
| [34] | Rohrwild J .[J].Journal of High Energy Physics,2007,0709:073. |
| [35] | Goeke K et al.[J].Physical Review D,2007,76:116007. |
| [36] | Ioffe B L .[J].Physics Letters B,2009,678:512. |
| [37] | Buividovich, P.V.;Chernodub, M.N.;Luschevskaya, E.V.;Polikarpov, M.I. .Chiral magnetization of non-Abelian vacuum: A lattice study[J].Nuclear physics, B,2010(1/2):313-327. |
| [38] | Belyaev V M;Kogan Y I .[J].Yadernaya Fizika,1984,40:1035. |
| [39] | Vainshtein A. .Perturbative and nonperturbative renormalization of anomalous quark triangles[J].Physics Letters, B. Nuclear Physics and High Energy Physics,2003(3/4):187-193. |
| [40] | Narison S .A fresh look into the neutron EDM and magnetic susceptibility[J].Physics Letters, B. Nuclear Physics and High Energy Physics,2008(5):455-461. |
| [41] | Moussallam B;Stern J .[Z]. |
| [42] | Moussallam B .[J].Physical Review D,1995,51:4939. |
| [43] | Moussallam B. .A SUM RULE APPROACH TO THE VIOLATION OF DASHENS THEOREM[J].Nuclear physics, B,1997(1/2):381-414. |
| [44] | Peris S;Perrottet M;de Rafael E .[J].Journal of High Energy Physics,1998,05:011. |
| [45] | Knecht M.;Perrottet M.;Peris S. .Decay of pseudoscalars into lepton pairs and Large-N-c QCD[J].Physical review letters,1999(25):5230-5233. |
| [46] | Behrend H J et al.The CELLO collaboration[J].Zeitschrift Für Physik C:Particles and Fields,1991,49:401. |
| [47] | Gronberg J et al.The CLEO collaboration[J].Physical Review D,1998,57:33. |
| [48] | Aubert B et al.The BABAR collaboration[J].Physical Review D,2009,80:052002. |
| [49] | Druzhinin V P.[A]. |
| [50] | Lepage G P;Brodsky S J .[J].Physical Review D,1980,22:2157. |
| [51] | Brodsky S J;Lepage G P .[J].Physical Review D,1981,24:1808. |
| [52] | Chernyak V L.[A]. |
| [53] | Nyffeler A .[Z]. |
| [54] | Dorokhov A E;Broniowski W .[J].Physical Review D,2008,78:073011. |
| [55] | Hong D K;Kim D .[J].Physics Letters B,2009,680:480. |
| [56] | Roberts B L .[J].Nuclear Physics B:Proceedings Supplements,2004,131:157. |
| [57] | Carey R M et al.Proposal of the BNL Experiment E969[Z].,2004. |
| [58] | Hertzog D W .[J].Nuclear Physics B-Proceedings Supplements,2008,181-182:5. |
| [59] | Roberts B L.[A]. |
| [60] | Mibe T.[A]. |
| [61] | Hayakawa M.[A].:353. |
| [62] | Blum T;Chowdhury S .[J].Nuclear Physics B-Proceedings Supplements,2009,189:251. |
| [63] | Venanzoni G.[A]. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%