A dispersive analysis of $$\varvec{\eta '\rightarrow \pi ^+\pi ^-\gamma }$$ and $$\varvec{\eta '\rightarrow \ell ^+\ell ^-\gamma }$$

Holz, Simon; Hanhart, Christoph; Hoferichter, Martin; Kubis, Bastian

doi:10.1140/epjc/s10052-022-10247-7

Title: A dispersive analysis of $$$$\varvec{\eta '\rightarrow \pi ^+\pi ^-\gamma }$$$$ and $$$$\varvec{\eta '\rightarrow \ell ^+\ell ^-\gamma }$$$$

Abstract

Abstract We present a dispersive representation of the $$$$\eta '$$$$ $η^{'}$ transition form factor that allows one to account, in a consistent way, for the effects of $$$$\rho $$$$ $ρ$ – $$$$\omega $$$$ $ω$ mixing in both the isoscalar and the isovector contributions. Using this formalism, we analyze recent data on $$$$\eta '\rightarrow \pi ^+\pi ^-\gamma $$$$ $η^{'} \to π^{+} π^{-} γ$ to constrain the isovector part of the form factor, individually and in combination with data for the pion vector form factor, which suggests a tension in the $$$$\rho $$$$ $ρ$ – $$$$\omega $$$$ $ω$ mixing parameter. As a first application, we use our results, in combination with the most recent input for the isoscalar part of the form factor, to predict the corresponding spectrum of $$$$\eta '\rightarrow \ell ^+\ell ^-\gamma $$$$ $η^{'} \to ℓ^{+} ℓ^{-} γ$ , in particular we find the slope parameter $$$$b_{\eta '}=1.455(24)\,\text {GeV}^{-2}$$$$ $b_{η^{'}} = 1.455 (24) {GeV}^{- 2}$ . With forthcoming data on the latter process, our results establish the necessary framework to improve the evaluation of the $$$$\eta '$$$$ $η^{'}$ -pole contribution to the anomalous magnetic moment of the muon using experimental input from both $$$$\eta '$$$$ $η^{'}$ decay channels.

Authors:

;

Publication Date:: Thu May 12 00:00:00 EDT 2022

Research Org.:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Swiss National Science Foundation (SNSF); German Research Foundation (DFG); Bonn–Cologne Graduate School of Physics and Astronomy (BCGS); European Union’s Horizon 2020

OSTI Identifier:: 1867523

Alternate Identifier(s):: OSTI ID: 1904706

Grant/Contract Number:: FG02-00ER41132; 824093

Resource Type:: Published Article

Journal Name:: European Physical Journal. C, Particles and Fields (Online)

Additional Journal Information:: Journal Name: European Physical Journal. C, Particles and Fields (Online) Journal Volume: 82 Journal Issue: 5; Journal ID: ISSN 1434-6052

Publisher:: Springer Science + Business Media

Country of Publication:: Germany

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Holz, Simon, Hanhart, Christoph, Hoferichter, Martin, and Kubis, Bastian. A dispersive analysis of $$\varvec{\eta '\rightarrow \pi ^+\pi ^-\gamma }$$ and $$\varvec{\eta '\rightarrow \ell ^+\ell ^-\gamma }$$.  Germany: N. p., 2022. 
Web.  doi:10.1140/epjc/s10052-022-10247-7.

Copy to clipboard


                    Holz, Simon, Hanhart, Christoph, Hoferichter, Martin, & Kubis, Bastian. A dispersive analysis of $$\varvec{\eta '\rightarrow \pi ^+\pi ^-\gamma }$$ and $$\varvec{\eta '\rightarrow \ell ^+\ell ^-\gamma }$$.  Germany.  https://doi.org/10.1140/epjc/s10052-022-10247-7

Copy to clipboard


                    Holz, Simon, Hanhart, Christoph, Hoferichter, Martin, and Kubis, Bastian. Thu .  
"A dispersive analysis of $$\varvec{\eta '\rightarrow \pi ^+\pi ^-\gamma }$$ and $$\varvec{\eta '\rightarrow \ell ^+\ell ^-\gamma }$$".  Germany.  https://doi.org/10.1140/epjc/s10052-022-10247-7.

Copy to clipboard


                    
@article{osti_1867523,

  title        = {A dispersive analysis of $$\varvec{\eta '\rightarrow \pi ^+\pi ^-\gamma }$$ and $$\varvec{\eta '\rightarrow \ell ^+\ell ^-\gamma }$$},

  author       = {Holz, Simon and Hanhart, Christoph and Hoferichter, Martin and Kubis, Bastian},

  abstractNote = {Abstract We present a dispersive representation of the $$\eta '$$ η ′ transition form factor that allows one to account, in a consistent way, for the effects of $$\rho $$ ρ – $$\omega $$ ω mixing in both the isoscalar and the isovector contributions. Using this formalism, we analyze recent data on $$\eta '\rightarrow \pi ^+\pi ^-\gamma $$ η ′ → π + π - γ to constrain the isovector part of the form factor, individually and in combination with data for the pion vector form factor, which suggests a tension in the $$\rho $$ ρ – $$\omega $$ ω mixing parameter. As a first application, we use our results, in combination with the most recent input for the isoscalar part of the form factor, to predict the corresponding spectrum of $$\eta '\rightarrow \ell ^+\ell ^-\gamma $$ η ′ → ℓ + ℓ - γ , in particular we find the slope parameter $$b_{\eta '}=1.455(24)\,\text {GeV}^{-2}$$ b η ′ = 1.455 ( 24 ) GeV - 2 . With forthcoming data on the latter process, our results establish the necessary framework to improve the evaluation of the $$\eta '$$ η ′ -pole contribution to the anomalous magnetic moment of the muon using experimental input from both $$\eta '$$ η ′ decay channels.},

  doi          = {10.1140/epjc/s10052-022-10247-7},

  journal      = {European Physical Journal. C, Particles and Fields (Online)},

  number       = 5,

  volume       = 82,

  place        = {Germany},

  year         = {Thu May 12 00:00:00 EDT 2022},

  month        = {Thu May 12 00:00:00 EDT 2022}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1140/epjc/s10052-022-10247-7

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Remarks on higher-order hadronic corrections to the muon <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math>
journal, July 2014

Colangelo, Gilberto; Hoferichter, Martin; Nyffeler, Andreas
Physics Letters B, Vol. 735
DOI: 10.1016/j.physletb.2014.06.012

Radiative resonance couplings in $γ π \to π π$
journal, December 2017

Hoferichter, Martin; Kubis, Bastian; Zanke, Marvin
Physical Review D, Vol. 96, Issue 11
DOI: 10.1103/PhysRevD.96.114016

Constraints on the two-pion contribution to hadronic vacuum polarization
journal, March 2021

Colangelo, Gilberto; Hoferichter, Martin; Stoffer, Peter
Physics Letters B, Vol. 814
DOI: 10.1016/j.physletb.2021.136073

Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon $$\mathbf {g-2}$$
journal, December 2020

Lüdtke, Jan; Procura, Massimiliano
The European Physical Journal C, Vol. 80, Issue 12
DOI: 10.1140/epjc/s10052-020-08611-6

Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon $$g-2$$ g - 2 and $${\alpha (m_Z^2)}$$ α ( m Z 2 ) using newest hadronic cross-section data
journal, December 2017

Davier, M.; Hoecker, A.; Malaescu, B.
The European Physical Journal C, Vol. 77, Issue 12
DOI: 10.1140/epjc/s10052-017-5161-6

Asymptotic behavior of meson transition form factors
journal, May 2020

Hoferichter, Martin; Stoffer, Peter
Journal of High Energy Physics, Vol. 2020, Issue 5
DOI: 10.1007/JHEP05(2020)159

Towards a data-driven analysis of hadronic light-by-light scattering
journal, November 2014

Colangelo, Gilberto; Hoferichter, Martin; Kubis, Bastian
Physics Letters B, Vol. 738
DOI: 10.1016/j.physletb.2014.09.021

Impact of correlations between $$a_{\mu }$$ and $$\alpha _\text {QED}$$ on the EW fit
journal, January 2021

Malaescu, Bogdan; Schott, Matthias
The European Physical Journal C, Vol. 81, Issue 1
DOI: 10.1140/epjc/s10052-021-08848-9

Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
journal, August 2021

Colangelo, G.; Hagelstein, F.; Hoferichter, M.
The European Physical Journal C, Vol. 81, Issue 8
DOI: 10.1140/epjc/s10052-021-09513-x

Dispersion relation for hadronic light-by-light scattering: two-pion contributions
journal, April 2017

Colangelo, Gilberto; Hoferichter, Martin; Procura, Massimiliano
Journal of High Energy Physics, Vol. 2017, Issue 4
DOI: 10.1007/JHEP04(2017)161

On the transition form factors of the axial-vector resonance f1(1285) and its decay into e+e−
journal, July 2021

Zanke, Marvin; Hoferichter, Martin; Kubis, Bastian
Journal of High Energy Physics, Vol. 2021, Issue 7
DOI: 10.1007/JHEP07(2021)106

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
journal, November 2019

Bijnens, Johan; Hermansson-Truedsson, Nils; Rodríguez-Sánchez, Antonio
Physics Letters B, Vol. 798
DOI: 10.1016/j.physletb.2019.134994

Study of the η - η′ system in the two mixing angle scheme
journal, June 2005

Escribano, Rafel; Frère, Jean-Marie
Journal of High Energy Physics, Vol. 2005, Issue 06
DOI: 10.1088/1126-6708/2005/06/029

Mixing and decay constants of pseudoscalar mesons
journal, October 1998

Feldmann, Th.; Kroll, P.; Stech, B.
Physical Review D, Vol. 58, Issue 11
DOI: 10.1103/PhysRevD.58.114006

Complete Tenth-Order QED Contribution to the Muon $g - 2$
journal, September 2012

Aoyama, Tatsumi; Hayakawa, Masashi; Kinoshita, Toichiro
Physical Review Letters, Vol. 109, Issue 11
DOI: 10.1103/PhysRevLett.109.111808

Three-pion contribution to hadronic vacuum polarization
journal, August 2019

Hoferichter, Martin; Hoid, Bai-Long; Kubis, Bastian
Journal of High Energy Physics, Vol. 2019, Issue 8
DOI: 10.1007/JHEP08(2019)137

Dispersive approach to hadronic light-by-light scattering
journal, September 2014

Colangelo, G.; Hoferichter, M.; Procura, M.
Journal of High Energy Physics, Vol. 2014, Issue 9
DOI: 10.1007/JHEP09(2014)091

Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
journal, March 2020

Colangelo, Gilberto; Hagelstein, Franziska; Hoferichter, Martin
Physical Review D, Vol. 101, Issue 5
DOI: 10.1103/PhysRevD.101.051501

Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon
journal, June 2017

Colangelo, Gilberto; Hoferichter, Martin; Procura, Massimiliano
Physical Review Letters, Vol. 118, Issue 23
DOI: 10.1103/PhysRevLett.118.232001

Erratum to: A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $$\alpha (m^{2}_{Z})$$
journal, May 2020

Davier, M.; Hoecker, A.; Malaescu, B.
The European Physical Journal C, Vol. 80, Issue 5
DOI: 10.1140/epjc/s10052-020-7857-2

On the solution of certain singular integral equations of quantum field theory
journal, April 1958

Omnès, E.
Il Nuovo Cimento, Vol. 8, Issue 2
DOI: 10.1007/BF02747746

Fitting parton distribution data with multiplicative normalization uncertainties
journal, May 2010

Ball, Richard D.; Del Debbio, Luigi; Forte, Stefano
Journal of High Energy Physics, Vol. 2010, Issue 5
DOI: 10.1007/JHEP05(2010)075

Electromagnetic corrections in the anomaly sector
journal, May 2002

Ananthanarayan, Balasubramanian; Moussallam, Bachir
Journal of High Energy Physics, Vol. 2002, Issue 05
DOI: 10.1088/1126-6708/2002/05/052

A PCAC puzzle: π0→γγ in the σ-model
journal, March 1969

Bell, J. S.; Jackiw, R.
Il Nuovo Cimento A, Vol. 60, Issue 1
DOI: 10.1007/BF02823296

The electroweak contributions to $(g - 2)_{μ}$ after the Higgs-boson mass measurement
journal, September 2013

Gnendiger, C.; Stöckinger, D.; Stöckinger-Kim, H.
Physical Review D, Vol. 88, Issue 5
DOI: 10.1103/PhysRevD.88.053005

$η^{'}$ transition form factor from space- and timelike experimental data
journal, September 2016

Escribano, R.; Gonzàlez-Solís, S.; Masjuan, P.
Physical Review D, Vol. 94, Issue 5
DOI: 10.1103/PhysRevD.94.054033

Anomalous decay and scattering processes of the $$\eta $$ η meson
journal, June 2015

Kubis, Bastian; Plenter, Judith
The European Physical Journal C, Vol. 75, Issue 6
DOI: 10.1140/epjc/s10052-015-3495-5

Chan et al. reply
journal, February 1990

Chan, Moses H. W.
Physical Review Letters, Vol. 64, Issue 8
DOI: 10.1103/PhysRevLett.64.979

Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon
journal, September 2018

Hoferichter, Martin; Hoid, Bai-Long; Kubis, Bastian
Physical Review Letters, Vol. 121, Issue 11
DOI: 10.1103/PhysRevLett.121.112002

Dispersive analysis for η→γγ ⋆
journal, December 2013

Hanhart, C.; Kupść, A.; Meißner, U. -G.
The European Physical Journal C, Vol. 73, Issue 12
DOI: 10.1140/epjc/s10052-013-2668-3

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio
journal, April 2020

Lehner, Christoph; Meyer, Aaron S.
Physical Review D, Vol. 101, Issue 7
DOI: 10.1103/PhysRevD.101.074515

Leading hadronic contribution to the muon magnetic moment from lattice QCD
journal, April 2021

Borsanyi, Sz.; Fodor, Z.; Guenther, J. N.
Nature, Vol. 593, Issue 7857
DOI: 10.1038/s41586-021-03418-1

Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^\gamma ^}$$
journal, November 2021

Holz, S.; Plenter, J.; Xiao, C. W.
The European Physical Journal C, Vol. 81, Issue 11
DOI: 10.1140/epjc/s10052-021-09661-0

Two-pion contribution to hadronic vacuum polarization
journal, February 2019

Colangelo, Gilberto; Hoferichter, Martin; Stoffer, Peter
Journal of High Energy Physics, Vol. 2019, Issue 2
DOI: 10.1007/JHEP02(2019)006

Global aspects of current algebra
journal, August 1983

Witten, Edward
Nuclear Physics B, Vol. 223, Issue 2
DOI: 10.1016/0550-3213(83)90063-9

Dispersive analysis of the pion transition form factor
journal, November 2014

Hoferichter, M.; Kubis, B.; Leupold, S.
The European Physical Journal C, Vol. 74, Issue 11
DOI: 10.1140/epjc/s10052-014-3180-0

Theory of the Anomalous Magnetic Moment of the Electron
journal, February 2019

Aoyama, Tatsumi; Kinoshita, Toichiro; Nio, Makiko
Atoms, Vol. 7, Issue 1
DOI: 10.3390/atoms7010028

Dispersion relation for hadronic light-by-light scattering: theoretical foundations
journal, September 2015

Colangelo, Gilberto; Hoferichter, Martin; Procura, Massimiliano
Journal of High Energy Physics, Vol. 2015, Issue 9
DOI: 10.1007/JHEP09(2015)074

Consequences of anomalous ward identities
journal, November 1971

Wess, J.; Zumino, B.
Physics Letters B, Vol. 37, Issue 1
DOI: 10.1016/0370-2693(71)90582-X

Hadronic light-by-light contribution to $$(g-2)_\mu $$ from lattice QCD: a complete calculation
journal, July 2021

Chao, En-Hung; Hudspith, Renwick J.; Gérardin, Antoine
The European Physical Journal C, Vol. 81, Issue 7
DOI: 10.1140/epjc/s10052-021-09455-4

The two-loop perturbative correction to the (g − 2)μ HLbL at short distances
journal, April 2021

Bijnens, Johan; Hermansson-Truedsson, Nils; Laub, Laetitia
Journal of High Energy Physics, Vol. 2021, Issue 4
DOI: 10.1007/JHEP04(2021)240

Dispersion relation for hadronic light-by-light scattering: pion pole
journal, October 2018

Hoferichter, Martin; Hoid, Bai-Long; Kubis, Bastian
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/JHEP10(2018)141

Dispersive analysis of ω→3π and ϕ→3π decays
journal, May 2012

Niecknig, Franz; Kubis, Bastian; Schneider, Sebastian P.
The European Physical Journal C, Vol. 72, Issue 5
DOI: 10.1140/epjc/s10052-012-2014-1

On the scalar $$\varvec{\pi K}$$ form factor beyond the elastic region
journal, May 2021

von Detten, L.; Noël, F.; Hanhart, C.
The European Physical Journal C, Vol. 81, Issue 5
DOI: 10.1140/epjc/s10052-021-09169-7

Pseudoscalar Decays into Two Photons in Chiral Perturbation Theory
journal, September 1988

Bijnens, Johan; Bramon, Albert; Cornet, Fernando
Physical Review Letters, Vol. 61, Issue 13
DOI: 10.1103/PhysRevLett.61.1453

Anomalous Ward Identities in Spinor Field Theories
journal, August 1969

Bardeen, William A.
Physical Review, Vol. 184, Issue 5
DOI: 10.1103/PhysRev.184.1848

Quark Structure of Pseudoscalar Mesons
journal, January 2000

Feldmann, Thorsten
International Journal of Modern Physics A, Vol. 15, Issue 02
DOI: 10.1142/S0217751X00000082

Amplitude analysis of the anomalous decay $η^{'} \to π^{+} π^{-} γ$
journal, February 2018

Dai, Ling-Yun; Kang, Xian-Wei; Meißner, Ulf-G.
Physical Review D, Vol. 97, Issue 3
DOI: 10.1103/PhysRevD.97.036012

Hadronic vacuum polarization and vector-meson resonance parameters from $$\varvec{e^+e^-\rightarrow \pi ^0\gamma }$$
journal, October 2020

Hoid, Bai-Long; Hoferichter, Martin; Kubis, Bastian
The European Physical Journal C, Vol. 80, Issue 10
DOI: 10.1140/epjc/s10052-020-08550-2

Precision measurement of the neutral pion lifetime
journal, April 2020

Larin, I.; Zhang, Y.; Gasparian, A.
Science, Vol. 368, Issue 6490
DOI: 10.1126/science.aay6641

Mixing and decay constants of pseudoscalar mesons: the sequel
journal, March 1999

Feldmann, Th.; Kroll, P.; Stech, B.
Physics Letters B, Vol. 449, Issue 3-4
DOI: 10.1016/S0370-2693(99)00085-4

A new parametrization for the scalar pion form factors
journal, December 2018

Ropertz, Stefan; Hanhart, Christoph; Kubis, Bastian
The European Physical Journal C, Vol. 78, Issue 12
DOI: 10.1140/epjc/s10052-018-6416-6

Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD
journal, April 2020

Blum, Thomas; Christ, Norman; Hayakawa, Masashi
Physical Review Letters, Vol. 124, Issue 13
DOI: 10.1103/PhysRevLett.124.132002

On the in chiral perturbation theory
journal, May 1998

Leutwyler, H.
Nuclear Physics B - Proceedings Supplements, Vol. 64, Issue 1-3
DOI: 10.1016/S0920-5632(97)01065-7

Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969

Adler, Stephen L.
Physical Review, Vol. 177, Issue 5
DOI: 10.1103/PhysRev.177.2426

Erratum to: The branching ratio $$\omega \rightarrow \pi ^+\pi ^-$$ ω → π + π - revisited
journal, June 2018

Hanhart, C.; Holz, S.; Kubis, B.
The European Physical Journal C, Vol. 78, Issue 6
DOI: 10.1140/epjc/s10052-018-5941-7

Mixed Leptonic and Hadronic Corrections to the Anomalous Magnetic Moment of the Muon
journal, March 2022

Hoferichter, Martin; Teubner, Thomas
Physical Review Letters, Vol. 128, Issue 11
DOI: 10.1103/PhysRevLett.128.112002

Meson transition form factor measurements with A2
journal, January 2019

Heijkenskjöld, L.
EPJ Web of Conferences, Vol. 199
DOI: 10.1051/epjconf/201919902013

Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
journal, January 2020

Leutgeb, Josef; Rebhan, Anton
Physical Review D, Vol. 101, Issue 1
DOI: 10.1103/PhysRevD.101.014006

Chiral expansions of the $π^{0}$ lifetime
journal, April 2009

Kampf, Karol; Moussallam, Bachir
Physical Review D, Vol. 79, Issue 7
DOI: 10.1103/PhysRevD.79.076005

Axial-vector and pseudoscalar mesons in the hadronic light-by-light contribution to the muon ( $g - 2$ )
journal, July 2020

Cappiello, Luigi; Catà, Oscar; D’Ambrosio, Giancarlo
Physical Review D, Vol. 102, Issue 1
DOI: 10.1103/PhysRevD.102.016009

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
journal, October 2020

Bijnens, Johan; Hermansson-Truedsson, Nils; Laub, Laetitia
Journal of High Energy Physics, Vol. 2020, Issue 10
DOI: 10.1007/JHEP10(2020)203

Extracting the chiral anomaly from $γ π \to π π$
journal, December 2012

Hoferichter, Martin; Kubis, Bastian; Sakkas, Dimitrios
Physical Review D, Vol. 86, Issue 11
DOI: 10.1103/PhysRevD.86.116009

Meson decay studies from MAMI A2
journal, January 2019

Heijkenskjöld, Lena
EPJ Web of Conferences, Vol. 212
DOI: 10.1051/epjconf/201921203004

Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
journal, April 2020

Roig, Pablo; Sanchez-Puertas, Pablo
Physical Review D, Vol. 101, Issue 7
DOI: 10.1103/PhysRevD.101.074019

A dispersive estimate of scalar contributions to hadronic light-by-light scattering
journal, September 2021

Danilkin, Igor; Hoferichter, Martin; Stoffer, Peter
Physics Letters B, Vol. 820
DOI: 10.1016/j.physletb.2021.136502

Refinements in electroweak contributions to the muon anomalous magnetic moment
journal, April 2003

Czarnecki, Andrzej; Marciano, William J.; Vainshtein, Arkady
Physical Review D, Vol. 67, Issue 7
DOI: 10.1103/PhysRevD.67.073006

Scalar meson contributions to a from hadronic light-by-light scattering
journal, December 2018

Knecht, M.; Narison, S.; Rabemananjara, A.
Physics Letters B, Vol. 787
DOI: 10.1016/j.physletb.2018.10.048

Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
journal, June 2014

Kurz, Alexander; Liu, Tao; Marquard, Peter
Physics Letters B, Vol. 734
DOI: 10.1016/j.physletb.2014.05.043

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
DOI: 10.1103/PhysRevD.70.113006

A new parameterization for the pion vector form factor
journal, August 2012

Hanhart, C.
Physics Letters B, Vol. 715, Issue 1-3
DOI: 10.1016/j.physletb.2012.07.038

Light-by-light scattering sum rules in light of new data
journal, January 2017

Danilkin, Igor; Vanderhaeghen, Marc
Physical Review D, Vol. 95, Issue 1
DOI: 10.1103/PhysRevD.95.014019

Hadronic Vacuum Polarization: $(g - 2)_{μ}$ versus Global Electroweak Fits
journal, August 2020

Crivellin, Andreas; Hoferichter, Martin; Manzari, Claudio Andrea
Physical Review Letters, Vol. 125, Issue 9
DOI: 10.1103/PhysRevLett.125.091801

Single meson contributions to the muon’s anomalous magnetic moment
journal, August 2014

Pauk, Vladyslav; Vanderhaeghen, Marc
The European Physical Journal C, Vol. 74, Issue 8
DOI: 10.1140/epjc/s10052-014-3008-y

Similar Records in DOE PAGES and OSTI.GOV collections:

Similar Records

Title: A dispersive analysis of $$$$\varvec{\eta '\rightarrow \pi ^+\pi ^-\gamma }$$$$ and $$$$\varvec{\eta '\rightarrow \ell ^+\ell ^-\gamma }$$$$

Abstract

Citation Formats

Radiative resonance couplings in γ π → π π journal, December 2017

Constraints on the two-pion contribution to hadronic vacuum polarization journal, March 2021

Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon $$\mathbf {g-2}$$ journal, December 2020

Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon $$g-2$$ g - 2 and $${\alpha (m_Z^2)}$$ α ( m Z 2 ) using newest hadronic cross-section data journal, December 2017

Asymptotic behavior of meson transition form factors journal, May 2020

Towards a data-driven analysis of hadronic light-by-light scattering journal, November 2014

Impact of correlations between $$a_{\mu }$$ and $$\alpha _\text {QED}$$ on the EW fit journal, January 2021

Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update journal, August 2021

Dispersion relation for hadronic light-by-light scattering: two-pion contributions journal, April 2017

On the transition form factors of the axial-vector resonance f1(1285) and its decay into e+e− journal, July 2021

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment journal, November 2019

Study of the η - η′ system in the two mixing angle scheme journal, June 2005

Mixing and decay constants of pseudoscalar mesons journal, October 1998

Complete Tenth-Order QED Contribution to the Muon g − 2 journal, September 2012

Three-pion contribution to hadronic vacuum polarization journal, August 2019

Dispersive approach to hadronic light-by-light scattering journal, September 2014

Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon journal, March 2020

Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon journal, June 2017

Erratum to: A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $$\alpha (m^{2}_{Z})$$ journal, May 2020

On the solution of certain singular integral equations of quantum field theory journal, April 1958

Fitting parton distribution data with multiplicative normalization uncertainties journal, May 2010

Electromagnetic corrections in the anomaly sector journal, May 2002

A PCAC puzzle: π0→γγ in the σ-model journal, March 1969

The electroweak contributions to ( g − 2 ) μ after the Higgs-boson mass measurement journal, September 2013

η ′ transition form factor from space- and timelike experimental data journal, September 2016

Anomalous decay and scattering processes of the $$\eta $$ η meson journal, June 2015

Chan et al. reply journal, February 1990

Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon journal, September 2018

Dispersive analysis for η→γγ ⋆ journal, December 2013

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio journal, April 2020

Leading hadronic contribution to the muon magnetic moment from lattice QCD journal, April 2021

Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^*\gamma ^*}$$ journal, November 2021

Two-pion contribution to hadronic vacuum polarization journal, February 2019

Global aspects of current algebra journal, August 1983

Dispersive analysis of the pion transition form factor journal, November 2014

Theory of the Anomalous Magnetic Moment of the Electron journal, February 2019

Dispersion relation for hadronic light-by-light scattering: theoretical foundations journal, September 2015

Consequences of anomalous ward identities journal, November 1971

Hadronic light-by-light contribution to $$(g-2)_\mu $$ from lattice QCD: a complete calculation journal, July 2021

The two-loop perturbative correction to the (g − 2)μ HLbL at short distances journal, April 2021

Dispersion relation for hadronic light-by-light scattering: pion pole journal, October 2018

Dispersive analysis of ω→3π and ϕ→3π decays journal, May 2012

On the scalar $$\varvec{\pi K}$$ form factor beyond the elastic region journal, May 2021

Pseudoscalar Decays into Two Photons in Chiral Perturbation Theory journal, September 1988

Anomalous Ward Identities in Spinor Field Theories journal, August 1969

Quark Structure of Pseudoscalar Mesons journal, January 2000

Amplitude analysis of the anomalous decay η ′ → π + π − γ journal, February 2018

Hadronic vacuum polarization and vector-meson resonance parameters from $$\varvec{e^+e^-\rightarrow \pi ^0\gamma }$$ journal, October 2020

Precision measurement of the neutral pion lifetime journal, April 2020

Mixing and decay constants of pseudoscalar mesons: the sequel journal, March 1999

A new parametrization for the scalar pion form factors journal, December 2018

Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD journal, April 2020

On the in chiral perturbation theory journal, May 1998

Axial-Vector Vertex in Spinor Electrodynamics journal, January 1969

Erratum to: The branching ratio $$\omega \rightarrow \pi ^+\pi ^-$$ ω → π + π - revisited journal, June 2018

Mixed Leptonic and Hadronic Corrections to the Anomalous Magnetic Moment of the Muon journal, March 2022

Meson transition form factor measurements with A2 journal, January 2019

Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD journal, January 2020

Chiral expansions of the π 0 lifetime journal, April 2009

Axial-vector and pseudoscalar mesons in the hadronic light-by-light contribution to the muon ( g − 2 ) journal, July 2020

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory journal, October 2020

Extracting the chiral anomaly from γ π → π π journal, December 2012

Meson decay studies from MAMI A2 journal, January 2019

Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment journal, April 2020

A dispersive estimate of scalar contributions to hadronic light-by-light scattering journal, September 2021

Refinements in electroweak contributions to the muon anomalous magnetic moment journal, April 2003

Scalar meson contributions to a from hadronic light-by-light scattering journal, December 2018

Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order journal, June 2014

Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined journal, December 2004

A new parameterization for the pion vector form factor journal, August 2012

Light-by-light scattering sum rules in light of new data journal, January 2017

Hadronic Vacuum Polarization: ( g − 2 ) μ versus Global Electroweak Fits journal, August 2020

Single meson contributions to the muon’s anomalous magnetic moment journal, August 2014

Radiative resonance couplings in $γ π \to π π$
journal, December 2017

Constraints on the two-pion contribution to hadronic vacuum polarization
journal, March 2021

Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon $$\mathbf {g-2}$$
journal, December 2020

Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon $$g-2$$ g - 2 and $${\alpha (m_Z^2)}$$ α ( m Z 2 ) using newest hadronic cross-section data
journal, December 2017

Asymptotic behavior of meson transition form factors
journal, May 2020

Towards a data-driven analysis of hadronic light-by-light scattering
journal, November 2014

Impact of correlations between $$a_{\mu }$$ and $$\alpha _\text {QED}$$ on the EW fit
journal, January 2021

Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
journal, August 2021

Dispersion relation for hadronic light-by-light scattering: two-pion contributions
journal, April 2017

On the transition form factors of the axial-vector resonance f1(1285) and its decay into e+e−
journal, July 2021

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
journal, November 2019

Study of the η - η′ system in the two mixing angle scheme
journal, June 2005

Mixing and decay constants of pseudoscalar mesons
journal, October 1998

Complete Tenth-Order QED Contribution to the Muon $g - 2$
journal, September 2012

Three-pion contribution to hadronic vacuum polarization
journal, August 2019

Dispersive approach to hadronic light-by-light scattering
journal, September 2014

Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
journal, March 2020

Rescattering Effects in the Hadronic-Light-by-Light Contribution to the Anomalous Magnetic Moment of the Muon
journal, June 2017

Erratum to: A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $$\alpha (m^{2}_{Z})$$
journal, May 2020

On the solution of certain singular integral equations of quantum field theory
journal, April 1958

Fitting parton distribution data with multiplicative normalization uncertainties
journal, May 2010

Electromagnetic corrections in the anomaly sector
journal, May 2002

A PCAC puzzle: π0→γγ in the σ-model
journal, March 1969

The electroweak contributions to $(g - 2)_{μ}$ after the Higgs-boson mass measurement
journal, September 2013

$η^{'}$ transition form factor from space- and timelike experimental data
journal, September 2016

Anomalous decay and scattering processes of the $$\eta $$ η meson
journal, June 2015

Chan et al. reply
journal, February 1990

Pion-Pole Contribution to Hadronic Light-By-Light Scattering in the Anomalous Magnetic Moment of the Muon
journal, September 2018

Dispersive analysis for η→γγ ⋆
journal, December 2013

Consistency of hadronic vacuum polarization between lattice QCD and the R ratio
journal, April 2020

Leading hadronic contribution to the muon magnetic moment from lattice QCD
journal, April 2021

Towards an improved understanding of $$\varvec{\eta \rightarrow \gamma ^\gamma ^}$$
journal, November 2021

Two-pion contribution to hadronic vacuum polarization
journal, February 2019

Global aspects of current algebra
journal, August 1983

Dispersive analysis of the pion transition form factor
journal, November 2014

Theory of the Anomalous Magnetic Moment of the Electron
journal, February 2019

Dispersion relation for hadronic light-by-light scattering: theoretical foundations
journal, September 2015

Consequences of anomalous ward identities
journal, November 1971

Hadronic light-by-light contribution to $$(g-2)_\mu $$ from lattice QCD: a complete calculation
journal, July 2021

The two-loop perturbative correction to the (g − 2)μ HLbL at short distances
journal, April 2021

Dispersion relation for hadronic light-by-light scattering: pion pole
journal, October 2018

Dispersive analysis of ω→3π and ϕ→3π decays
journal, May 2012

On the scalar $$\varvec{\pi K}$$ form factor beyond the elastic region
journal, May 2021

Pseudoscalar Decays into Two Photons in Chiral Perturbation Theory
journal, September 1988

Anomalous Ward Identities in Spinor Field Theories
journal, August 1969

Quark Structure of Pseudoscalar Mesons
journal, January 2000

Amplitude analysis of the anomalous decay $η^{'} \to π^{+} π^{-} γ$
journal, February 2018

Hadronic vacuum polarization and vector-meson resonance parameters from $$\varvec{e^+e^-\rightarrow \pi ^0\gamma }$$
journal, October 2020

Precision measurement of the neutral pion lifetime
journal, April 2020

Mixing and decay constants of pseudoscalar mesons: the sequel
journal, March 1999

A new parametrization for the scalar pion form factors
journal, December 2018

Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment from Lattice QCD
journal, April 2020

On the in chiral perturbation theory
journal, May 1998

Axial-Vector Vertex in Spinor Electrodynamics
journal, January 1969

Erratum to: The branching ratio $$\omega \rightarrow \pi ^+\pi ^-$$ ω → π + π - revisited
journal, June 2018

Mixed Leptonic and Hadronic Corrections to the Anomalous Magnetic Moment of the Muon
journal, March 2022

Meson transition form factor measurements with A2
journal, January 2019

Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
journal, January 2020

Chiral expansions of the $π^{0}$ lifetime
journal, April 2009

Axial-vector and pseudoscalar mesons in the hadronic light-by-light contribution to the muon ( $g - 2$ )
journal, July 2020

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
journal, October 2020

Extracting the chiral anomaly from $γ π \to π π$
journal, December 2012

Meson decay studies from MAMI A2
journal, January 2019

Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
journal, April 2020

A dispersive estimate of scalar contributions to hadronic light-by-light scattering
journal, September 2021

Refinements in electroweak contributions to the muon anomalous magnetic moment
journal, April 2003

Scalar meson contributions to a from hadronic light-by-light scattering
journal, December 2018

Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
journal, June 2014

Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined
journal, December 2004

A new parameterization for the pion vector form factor
journal, August 2012

Light-by-light scattering sum rules in light of new data
journal, January 2017

Hadronic Vacuum Polarization: $(g - 2)_{μ}$ versus Global Electroweak Fits
journal, August 2020

Single meson contributions to the muon’s anomalous magnetic moment
journal, August 2014