The muon anomalous magnetic moment and the pion polarizability
Abstract
We compute the charged pion loop contribution to the muon anomalous magnetic moment , taking into account the previously omitted effect of the charged pion polarizability, (α1-β1)π+. Here, we evaluate this contribution using two different models that are consistent with the requirements of chiral symmetry in the low-momentum regime and perturbative quantum chromodynamics in the asymptotic region. The result may increase the disagreement between the present experimental value for αμ and the theoretical, Standard Model prediction by as much as ~60 x 10-11 depending on the value of (α1-β1)π+ and the choice of the model. The planned determination of (α1-β1)π+ at Jefferson Laboratory will eliminate the dominant parametric error, leaving a theoretical model uncertainty commensurate with the error expected from planned Fermilab measurement of αμ.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1198381
- Alternate Identifier(s):
- OSTI ID: 1441364
- Grant/Contract Number:
- FG02-92ER40701; FG02-08ER41531; SC0011095
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters. B
- Additional Journal Information:
- Journal Name: Physics Letters. B Journal Volume: 738 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Engel, Kevin T., and Ramsey-Musolf, Michael J. The muon anomalous magnetic moment and the pion polarizability. Netherlands: N. p., 2014.
Web. doi:10.1016/j.physletb.2014.09.006.
Engel, Kevin T., & Ramsey-Musolf, Michael J. The muon anomalous magnetic moment and the pion polarizability. Netherlands. https://doi.org/10.1016/j.physletb.2014.09.006
Engel, Kevin T., and Ramsey-Musolf, Michael J. Sat .
"The muon anomalous magnetic moment and the pion polarizability". Netherlands. https://doi.org/10.1016/j.physletb.2014.09.006.
@article{osti_1198381,
title = {The muon anomalous magnetic moment and the pion polarizability},
author = {Engel, Kevin T. and Ramsey-Musolf, Michael J.},
abstractNote = {We compute the charged pion loop contribution to the muon anomalous magnetic moment , taking into account the previously omitted effect of the charged pion polarizability, (α1-β1)π+. Here, we evaluate this contribution using two different models that are consistent with the requirements of chiral symmetry in the low-momentum regime and perturbative quantum chromodynamics in the asymptotic region. The result may increase the disagreement between the present experimental value for αμ and the theoretical, Standard Model prediction by as much as ~60 x 10-11 depending on the value of (α1-β1)π+ and the choice of the model. The planned determination of (α1-β1)π+ at Jefferson Laboratory will eliminate the dominant parametric error, leaving a theoretical model uncertainty commensurate with the error expected from planned Fermilab measurement of αμ.},
doi = {10.1016/j.physletb.2014.09.006},
journal = {Physics Letters. B},
number = C,
volume = 738,
place = {Netherlands},
year = {Sat Nov 01 00:00:00 EDT 2014},
month = {Sat Nov 01 00:00:00 EDT 2014}
}
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https://doi.org/10.1016/j.physletb.2014.09.006
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Cited by: 14 works
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Figures / Tables:
Fig. 1: Representative diagrams for charged pion loop contributions to $a^{HLBL}_μ$ : (a) LO; (b) VMD (ρ-meson) model for the γπ+π− vertex; (c) Models I and II γ γπ+π− form factor.
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Works referenced in this record:
Measurement of the πmeson polarizabilities via the γp → γπ+n reaction
journal, December 2004
- Ahrens, J.; Alexeev, V. M.; Annand, J. R. M.
- The European Physical Journal A, Vol. 23, Issue 1
Hadronic light-by-light scattering and the pion polarizability
journal, August 2012
- Engel, Kevin T.; Patel, Hiren H.; Ramsey-Musolf, Michael J.
- Physical Review D, Vol. 86, Issue 3
Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
journal, April 2004
- Bennett, G. W.; Bousquet, B.; Brown, H. N.
- Physical Review Letters, Vol. 92, Issue 16
Chiral lagrangians for massive spin-1 fields
journal, June 1989
- Ecker, G.; Gasser, J.; Leutwyler, H.
- Physics Letters B, Vol. 223, Issue 3-4
Secluded U(1) below the weak scale
journal, November 2009
- Pospelov, Maxim
- Physical Review D, Vol. 80, Issue 9
Hadronic Light-by-Light Scattering Effect on Muon
journal, July 1995
- Hayakawa, M.; Kinoshita, T.; Sanda, A. I.
- Physical Review Letters, Vol. 75, Issue 5
Muon anomalous magnetic moment: A harbinger for “new physics”
journal, June 2001
- Czarnecki, Andrzej; Marciano, William J.
- Physical Review D, Vol. 64, Issue 1
The muon magnetic moment and supersymmetry
journal, December 2006
- Stöckinger, Dominik
- Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 2
The hadronic light-by-light contribution to the muon anomalous magnetic moment and renormalization group for EFT
journal, January 2012
- Bijnens, Johan; Abyaneh, Mehran Zahiri
- EPJ Web of Conferences, Vol. 37
Role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon
journal, February 2013
- Goecke, Tobias; Fischer, Christian S.; Williams, Richard
- Physical Review D, Vol. 87, Issue 3
Hadronic Light-by-Light Contribution to the Muon
journal, August 1995
- Bijnens, Johan; Pallante, Elisabetta; Prades, Joaquím
- Physical Review Letters, Vol. 75, Issue 8
Erratum to: Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha(M_{Z}^{2})$
journal, February 2012
- Davier, M.; Hoecker, A.; Malaescu, B.
- The European Physical Journal C, Vol. 72, Issue 2
Final report of the E821 muon anomalous magnetic moment measurement at BNL
journal, April 2006
- Bennett, G. W.; Bousquet, B.; Brown, H. N.
- Physical Review D, Vol. 73, Issue 7
Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985
- Gasser, J.; Leutwyler, H.
- Nuclear Physics B, Vol. 250, Issue 1-4
Algebra of Current Components and Decay Widths of and Mesons
journal, July 1966
- Riazuddin,
- Physical Review, Vol. 147, Issue 4
Comment on the pion pole part of the light-by-light contribution to the muon g−2
journal, April 2002
- Bijnens, Johan; Pallante, Elisabetta; Prades, Joaquim
- Nuclear Physics B, Vol. 626, Issue 1-2
Leading-order calculation of hadronic contributions to the Muon g-2 using the Dyson–Schwinger approach
journal, October 2011
- Goecke, Tobias; Fischer, Christian S.; Williams, Richard
- Physics Letters B, Vol. 704, Issue 3
Revisiting at low energies
journal, June 2006
- Gasser, J.; Ivanov, M. A.; Sainio, M. E.
- Nuclear Physics B, Vol. 745, Issue 1-2
Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon
journal, January 1998
- Hayakawa, M.; Kinoshita, T.
- Physical Review D, Vol. 57, Issue 1
Analysis of the hadronic light-by-light contributions to the muon g − 2
journal, August 1996
- Bijnens, Johan; Pallante, Elisabetta; Prades, Joaquim
- Nuclear Physics B, Vol. 474, Issue 2
Hadronic Light-By-Light Scattering Contribution to the Muon : An Effective Field Theory Approach
journal, January 2002
- Knecht, M.; Nyffeler, A.; Perrottet, M.
- Physical Review Letters, Vol. 88, Issue 7
Hadronic light-by-light corrections to the muon The pion-pole contribution
journal, April 2002
- Knecht, Marc; Nyffeler, Andreas
- Physical Review D, Vol. 65, Issue 7
Erratum: Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon [Phys. Rev. D 465 (1998)]
journal, July 2002
- Hayakawa, M.; Kinoshita, T.
- Physical Review D, Vol. 66, Issue 1
The muon g−2
journal, June 2009
- Jegerlehner, Fred; Nyffeler, Andreas
- Physics Reports, Vol. 477, Issue 1-3
Hadronic light-by-light scattering contribution to the muon g − 2
journal, June 2010
- Nyffeler, A.
- Chinese Physics C, Vol. 34, Issue 6
Hadronic light-by-light scattering in the muon : A new short-distance constraint on pion exchange
journal, April 2009
- Nyffeler, Andreas
- Physical Review D, Vol. 79, Issue 7
Measurement of π−-meson polarizability in pion compton effect
journal, February 1983
- Antipov, Yu. M.; Batarin, V. A.; Bessubov, V. A.
- Physics Letters B, Vol. 121, Issue 6
Electromagnetic self-energies of pseudoscalar mesons and Dashen's theorem
journal, March 1993
- Donoghue, John F.; Holstein, Barry R.; Wyler, Daniel
- Physical Review D, Vol. 47, Issue 5
Hadronic Light-by-Light Contribution to Muon in Chiral Perturbation Theory
journal, July 2002
- Ramsey-Musolf, M. J.; Wise, Mark B.
- Physical Review Letters, Vol. 89, Issue 4
Electromagnetic mass differences of pions and kaons
journal, June 1997
- Donoghue, John F.; Pérez, Antonio F.
- Physical Review D, Vol. 55, Issue 11
Chiral perturbation theory beyond one loop
journal, April 2007
- Bijnens, Johan
- Progress in Particle and Nuclear Physics, Vol. 58, Issue 2
Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
journal, August 2002
- Bennett, G. W.; Bousquet, B.; Brown, H. N.
- Physical Review Letters, Vol. 89, Issue 10
The Hadronic Light-By-Light Contribution to the muon Anomalous Magnetic Moment: Where do we Stand?
journal, April 2007
- Bijnens, Johan; Prades, Joaquim
- Modern Physics Letters A, Vol. 22, Issue 11
Pion polarizabilities and charged pion-pair production to two loops
journal, November 1996
- Bürgi, U.
- Nuclear Physics B, Vol. 479, Issue 1-2
Hadronic contributions to the anomalous magnetic moment of the muon
journal, April 1985
- Kinoshita, T.; Niić, B.; Okamoto, Y.
- Physical Review D, Vol. 31, Issue 8
Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined
journal, December 2004
- Melnikov, Kirill; Vainshtein, Arkady
- Physical Review D, Vol. 70, Issue 11
Virtual photons in chiral perturbation theory
journal, January 1995
- Urech, Res
- Nuclear Physics B, Vol. 433, Issue 1
Partially Conserved Axial-Vector Current and the Decays of Vector Mesons
journal, February 1966
- Kawarabayashi, Ken; Suzuki, Mahiko
- Physical Review Letters, Vol. 16, Issue 6
Hadronic light-by-light scattering contribution to muon
journal, September 1996
- Hayakawa, M.; Kinoshita, T.; Sanda, A. I.
- Physical Review D, Vol. 54, Issue 5
Muon g − 2 discrepancy: new physics or a relatively light Higgs?
journal, June 2010
- Passera, M.; Marciano, W. J.; Sirlin, A.
- Chinese Physics C, Vol. 34, Issue 6
Reevaluation of the hadronic contributions to the muon g−2 and to $\alpha (M^{2}_{Z})$
journal, January 2011
- Davier, M.; Hoecker, A.; Malaescu, B.
- The European Physical Journal C, Vol. 71, Issue 1
Determination of the chiral couplings and from semileptonic decays
journal, December 2008
- González-Alonso, Martín; Pich, Antonio; Prades, Joaquim
- Physical Review D, Vol. 78, Issue 11
On the radiative pion decay
journal, April 2008
- Unterdorfer, Rene; Pichl, Hannes
- The European Physical Journal C, Vol. 55, Issue 2
The light-by-light contribution to the muon (g-2) from lightest pseudoscalar and scalar mesons within nonlocal chiral quark model
journal, November 2012
- Dorokhov, A. E.; Radzhabov, A. E.; Zhevlakov, A. S.
- The European Physical Journal C, Vol. 72, Issue 11
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.