Hadronic light-by-light scattering contribution to the muon g－2

A. Nyffeler

doi:10.1088/1674-1137/34/6/016

Chinese Physics C> 2010, Vol. 34> Issue(6) : 705-711 DOI: 10.1088/1674-1137/34/6/016

Hadronic light-by-light scattering contribution to the muon g－2

A. Nyffeler ^,

Regional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad - 211019, India

Abstract
HTML
Reference
Related

PDF

Abstract：
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-N_C 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 a_μ^{LbyL; had}=(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 a_e^{LbyL; had}=(3.9±1.3)×10^－14.

References

[1]

. Miller J P, de Rafael E, Roberts B L. Rep. Prog. Phys.,2007, 70: 7952. Jegerlehner F. Acta Phys. Pol. B, 2007, 38: 3021;Jegerlehner F. The Anomalous Magnetic Moment of theMuon. Springer Tracts Mod. Phys. Vol. 226. Berlin:Springer, 20083. Jegerlehner F, Ny eler A. Phys. Rept., 2009, 477: 14. For recent updates of the hadronic vacuum polarizationcontribution, see: Davier M et al. arXiv:0908.4300 [hep-ph]; Davier M. Talk at this conference; Teubner T. talk atthis conference5. Bijnens J, Prades J. Mod. Phys. Lett. A, 2007, 22: 7676. Prades J, de Rafael E, Vainshtein A. In: Lepton DipoleMoments, Roberts B L, Marciano W J. (eds). Singapore:World Scienti c, 2009, 309. arXiv:0901.0306 [hep-ph]7. de Rafael E. Phys. Lett. B, 1994, 322: 2398. Bijnens J, Pallante E, Prades J. Phys. Rev. Lett., 1995, 75:1447; 1995, 75: 3781(E); Nucl. Phys. B, 1996, 474: 379;2002, 626: 4109. Hayakawa M, Kinoshita T, Sanda A I. Phys. Rev. Lett.,1995, 75: 790; Phys. Rev. D, 1996, 54: 3137; HayakawaM, Kinoshita T. Phys. Rev. D, 1998, 57: 465; 2002, 66:019902(E)10. Knecht M, Ny eler A. Phys. Rev. D, 2002, 65: 073034;Knecht M et al. Phys. Rev. Lett., 2002, 88: 07180211. Melnikov K, Vainshtein A. Phys. Rev. D, 2004, 70: 11300612. Bijnens J, Persson F. hep-ph/010613013. Nyffeler A. Phys. Rev. D, 2009, 79: 07301214. Wess J, Zumino B. Phys. Lett. B, 1971, 37: 95; Witten E.Nucl. Phys. B, 1983, 223: 42215. Knecht M, Ny eler A. Eur. Phys. J. C, 2001, 21: 65916. Io e B L, Smilga A V. Nucl. Phys. B, 1984, 232: 10917. Balitsky I I, Yung A V. Phys. Lett. B, 1983, 129: 328; Balitsky I I, Kolesnichenko A V, Yung A V. Yad. Fiz. 1985,41, 282; Petrov V Y et al. Phys. Rev. D, 1999, 59: 114018;Ball P, Braun V M, Kivel N. Nucl. Phys. B, 2003, 649,263; Dorokhov A E. Eur. Phys. J. C, 2005, 42: 309; MateuV, Portoles J. Eur. Phys. J. C, 2007, 52: 325; RohrwildJ. JHEP, 2007, 0709: 073; Goeke K et al. Phys. Rev. D,2007, 76: 116007; Io e B L. Phys. Lett. B, 2009, 678: 512;Buividovich P V et al. Nucl. Phys. B, 2010, 826: 31318. Belyaev V M, Kogan Y I. Yad. Fiz., 1984, 40: 1035; Vain-shtein A. Phys. Lett. B, 2003, 569: 187; Narison S. Phys.Lett. B, 2008, 666: 45519. Moussallam B, Stern J. hep-ph/9404353; Moussallam B.Phys. Rev. D, 1995, 51: 4939; Moussallam B. Nucl. Phys.B, 1997, 504: 381; Peris S, Perrottet M, de Rafael E. J.High Energy Phys., 1998, 05: 011; Knecht M et al. Phys.Rev. Lett., 1999, 83: 523020. Behrend H J et al (The CELLO collaboration). Z. Phys. C,1991, 49: 401; Gronberg J et al (The CLEO collaboration).Phys. Rev. D, 1998, 57: 3321. Aubert B et al (The BABAR collaboration). Phys. Rev. D,2009, 80: 052002; Druzhinin V P. talk at this conference22. Lepage G P, Brodsky S J. Phys. Rev. D, 1980, 22: 2157;Brodsky S J, Lepage G P. Phys. Rev. D, 1981, 24: 180823. Chernyak V L. arXiv:0912.0623 [hep-ph], these proceedings24. Nyffeler A. arXiv:0912.1441 [hep-ph]25. Dorokhov A E, Broniowski W. Phys. Rev. D, 2008, 78:07301126. Hong D K, Kim D. Phys. Lett. B, 2009, 680: 48027. Roberts B L. Nucl. Phys. B (Proc. Suppl.), 2004, 131: 157;Carey R M et al. Proposal of the BNL Experiment E969.2004. J-PARC Letter of Intent L17; Hertzog D W. Nucl.Phys. Proc. Suppl., 2008, 181-182: 5; Roberts B L. talkat this conference; Mibe T. talk at this conference28. Hayakawa M et al. PoS, 2006, LAT2005, 353 [arXiv:hep-lat/0509016]; Blum T, Chowdhury S. Nucl. Phys. Proc.Suppl., 2009, 189: 25129. Venanzoni G. talk at this conference

[1]	Ting-Ting Wang , Xiao-Ming Xu . Cross sections for inelastic 2-to-2 meson-meson scattering in hadronic matter. Chinese Physics C, 2019, 43(2): 024102. doi: 10.1088/1674-1137/43/2/024102
[2]	Qi Chen , De-fu Hou . HTL resummation in the light cone gauge. Chinese Physics C, 2018, 42(4): 043102. doi: 10.1088/1674-1137/42/4/043102
[3]	Kun Wang , Fei Wang , Jingya Zhu , Quanlin Jie . The semi-constrained NMSSM in light of muon g-2, LHC, anddark matter constraints. Chinese Physics C, 2018, 42(10): 103109. doi: 10.1088/1674-1137/42/10/103109
[4]	Ming-Zhu Liu , Duo-Jie Jia , Dian-Yong Chen . Possible hadronic molecular states composed of S-wave heavy-light mesons. Chinese Physics C, 2017, 41(5): 053105. doi: 10.1088/1674-1137/41/5/053105
[5]	SUN Xi-Lei , HU Tao , ZHOU Li , CAO Jun , WANG Yi-Fang , ZHAN Liang , YU Bo-Xiang , CAI Xiao , FANG Jian , XIE Yu-Guang , AN Zheng-Hua , WANG Zhi-Gang , XUE Zhen , ZHANG Ai-Wu , NING Fei-Peng , GE Yong-Shuai , LIU Ying-Biao , , . Fast light of CsI(Na) crystals. Chinese Physics C, 2011, 35(12): 1130-1133. doi: 10.1088/1674-1137/35/12/009
[6]	Ulf-G. Meissner¹ , 2 . Isospin violation, light quark masses, and all that. Chinese Physics C, 2010, 34(9): 1163-1168. doi: 10.1088/1674-1137/34/9/003
[7]	S. Fiore (for the KLOE collaboration) . KLOE results on light mesons. Chinese Physics C, 2010, 34(9): 1379-1382. doi: 10.1088/1674-1137/34/9/047
[8]	Tsutomu Mibe , for the , PARC g . New g－2 experiment at J-PARC. Chinese Physics C, 2010, 34(6): 745-748. doi: 10.1088/1674-1137/34/6/022
[9]	Gabriel López Castro . Recent progress on isospin breaking corrections and their impact on the muon g－2 value. Chinese Physics C, 2010, 34(6): 712-717. doi: 10.1088/1674-1137/34/6/017
[10]	Daisuke Nomura . Update of g－2 of the muon and Δα. Chinese Physics C, 2010, 34(6): 728-734. doi: 10.1088/1674-1137/34/6/019
[11]	Lee Roberts , on behalf , of the , New Muon . Status of the Fermilab muon (g－2) experiment. Chinese Physics C, 2010, 34(6): 741-744. doi: 10.1088/1674-1137/34/6/021
[12]	M. Benayoun , L. Del Buono , B. P. David , O. Leitner . Can VMD improve the estimate of the muon g－2?. Chinese Physics C, 2010, 34(6): 698-704. doi: 10.1088/1674-1137/34/6/015
[13]	W. J. Marciano , A. Sirlin . Muon g－2 discrepancy: new physics or a relatively light Higgs?. Chinese Physics C, 2010, 34(6): 735-740. doi: 10.1088/1674-1137/34/6/020
[14]	Michel Davier . New results on the hadronic vacuum polarization contribution to the muon g－2. Chinese Physics C, 2010, 34(6): 718-727. doi: 10.1088/1674-1137/34/6/018
[15]	LI Wei-Min , WANG Lin , FENG Guang-Yao , ZHANG Shan-Cai , WU Cong-Feng , XU Hong-Liang , LIU Zu-Ping , . Conceptual design of Hefei advanced light source. Chinese Physics C, 2009, 33(S2): 128-130. doi: 10.1088/1674-1137/33/S2/033
[16]	CHANG Lei , Ian C , Bruno El-BENNICH , Thomas KL , Craig D . Exploring the light-quark interaction. Chinese Physics C, 2009, 33(12): 1189-1196. doi: 10.1088/1674-1137/33/12/022
[17]	YAN Li-Xin , DU Ying-Chao , DU Qiang , LI Ren-Kai , HUA Jian-Fei , HUANG Wen-Hui , TANG Chuan-Xiang . TW Laser system for Thomson scattering X-ray light source at Tsinghua University. Chinese Physics C, 2009, 33(S2): 154-156. doi: 10.1088/1674-1137/33/S2/040
[18]	FAN Gong-Tao , XU Wang , MA Yu-Gang , LIN Cheng-Jian , PAN Qiang-Yan , XU Yi , CHEN Jin-Gen , GUO Wei , YANG Li-Feng , FAN Guang-Wei , LUO Wen . Measurement of electric polarizabilities of light nucleus(nucleons). Chinese Physics C, 2008, 32(S2): 166-169.
[19]	Li Yuncai , Yang Shande , Wu Shishu . Contribution of the 2H-1P Multiple Scattering Correlation and Self Screening Effect to the Spectra of ¹⁷O and ¹⁵O. Chinese Physics C, 1990, 14(S4): 407-415.
[20]	Wu Shishu , Yang Shande , Li Yuncai . Contribution of the 2p-1h Multiple Scattering Correlation to the Spectra of ¹⁷O and ¹⁵O. Chinese Physics C, 1989, 13(S3): 321-329.

Access

Get Citation

A. Nyffeler. Hadronic light-by-light scattering contribution to the muon g－2[J]. Chinese Physics C, 2010, 34(6): 705-711. doi: 10.1088/1674-1137/34/6/016

A. Nyffeler. Hadronic light-by-light scattering contribution to the muon g－2[J]. Chinese Physics C, 2010, 34(6): 705-711. doi: 10.1088/1674-1137/34/6/016 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-01-25
Revised: 1900-01-01

Article Metric

Article Views(2461)
PDF Downloads(512)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Hadronic light-by-light scattering contribution to the muon g－2

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Hadronic light-by-light scattering contribution to the muon g－2

Corresponding author: A. Nyffeler,

HTML

目录