- Open Access
New high-statistics measurement of the Dalitz decay at the Mainz Microtron
Phys. Rev. C 113, 065202 – Published 5 June, 2026
DOI: https://doi.org/10.1103/9tk1-2dxp
Abstract
The Dalitz decay has been measured with the highest statistical accuracy obtained so far in the reaction with the A2 tagged-photon facility at the Mainz Microtron, MAMI. The value of the slope parameter for the electromagnetic transition form factor, , is obtained from the analysis of observed decays. Within experimental uncertainties, it is in agreement with existing measurements and theoretical calculations, with its own uncertainty being smaller than previous results based on the analysis of decays.
Physics Subject Headings (PhySH)
Article Text
References (70)
- P. Adlarson et al., Measurement of the Dalitz decay at the Mainz Microtron, Phys. Rev. C 95, 025202 (2017).
- A. Nyffeler, Precision of a data-driven estimate of hadronic light-by-light scattering in the muon : Pseudoscalar-pole contribution, Phys. Rev. D 94, 053006 (2016).
- T. Aoyama et al., The anomalous magnetic moment of the muon in the standard model, Phys. Rep. 887, 1 (2020).
- R. Aliberti et al., The anomalous magnetic moment of the muon in the standard model: An update, Phys. Rep. 1143, 1 (2025).
- G. Colangelo, M. Hoferichter, B. Kubis, M. Procura, and P. Stoffer, Towards a data-driven analysis of hadronic light-by-light scattering, Phys. Lett. B 738, 6 (2014).
- G. Colangelo, M. Hoferichter, M. Procura, and P. Stoffer, Dispersion relation for hadronic light-by-light scattering: theoretical foundations, J. High Energy Phys. 09 (2015) 074.
- P. Masjuan and P. Sánchez-Puertas, Pseudoscalar-pole contribution to the : A rational approach, Phys. Rev. D 95, 054026 (2017).
- G. Colangelo, M. Hoferichter, M. Procura, and P. Stoffer, Dispersion relation for hadronic light-by-light scattering: two-pion contributions, J. High Energy Phys. 04 (2017) 161.
- M. Hoferichter, B.-L. Hoid, B. Kubis, S. Leupold, and S. P. Schneider, Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon, Phys. Rev. Lett. 121, 112002 (2018).
- M. Hoferichter, B.-L. Hoid, B. Kubis, S. Leupold, and S. P. Schneider, Dispersion relation for hadronic light-by-light scattering: Pion pole, J. High Energy Phys. 10 (2018) 141.
- G. Eichmann, C. S. Fischer, E. Weil, and R. Williams, Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon, Phys. Lett. B 797, 134855 (2019); Corrigendum to: Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon, 799, 135029 (2019).
- J. Bijnens, N. Hermansson-Truedsson, and A. Rodríguez-Sánchez, Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment, Phys. Lett. B 798, 134994 (2019).
- J. Leutgeb and A. Rebhan, Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon, Phys. Rev. D 101, 114015 (2020).
- L. Cappiello, O. Catà, G. D'Ambrosio, D. Greynat, and A. Iyer, Axial-vector and pseudoscalar mesons in the hadronic light-by-light contribution to the muon , Phys. Rev. D 102, 016009 (2020).
- P. Masjuan, P. Roig, and P. Sánchez-Puertas, The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in , J. Phys. G: Nucl. Part. Phys. 49, 015002 (2022).
- J. Bijnens, N. Hermansson-Truedsson, L. Laub, and A. Rodrıíguez-Sánchez, Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory, J. High Energy Phys. 10 (2020) 203.
- J. Bijnens, N. Hermansson-Truedsson, L. Laub, and A. Rodrıíguez-Sánchez, The two-loop perturbative correction to the HLbL at short distances, J. High Energy Phys. 04 (2021) 240.
- I. Danilkin, M. Hoferichter, and P. Stoffer, A dispersive estimate of scalar contributions to hadronic light-by-light scattering, Phys. Lett. B 820, 136502 (2021).
- D. Stamen, D. Hariharan, M. Hoferichter, B. Kubis, and P. Stoffer, Kaon electromagnetic form factors in dispersion theory, Eur. Phys. J. C 82, 432 (2022).
- J. Leutgeb, J. Mager, and A. Rebhan, Hadronic light-by-light contribution to the muon from holographic QCD with solved problem, Phys. Rev. D 107, 054021 (2023).
- M. Hoferichter, B. Kubis, and M. Zanke, Axial-vector transition form factors and , J. High Energy Phys. 08 (2023) 209.
- M. Hoferichter, P. Stoffer, and M. Zillinger, An optimized basis for hadronic light-by-light scattering, J. High Energy Phys. 04 (2024) 092.
- E. J. Estrada, S. Gonzàlez-Solís, A. Guevara, and P. Roig, Improved transition form factors in resonance chiral theory and their contribution, J. High Energy Phys. 12 (2024) 203.
- J. Lüdtke, M. Procura, and P. Stoffer, Dispersion relations for the hadronic VVA correlator, J. High Energy Phys. 04 (2025) 130.
- O. Deineka, I. Danilkin, and M. Vanderhaeghen, Dispersive estimate of the contribution to , Phys. Rev. D 111, 034009 (2025).
- G. Eichmann, C. S. Fischer, T. Haeuser, and O. Regenfelder, Axial-vector and scalar contributions to hadronic light-by-light scattering, Eur. Phys. J. C 85, 445 (2025).
- J. Bijnens, N. Hermansson-Truedsson, and A. Rodrıíguez-Sánchez, Constraints on the hadronic light-by-light tensor in corner kinematics for the muon , J. High Energy Phys. 03 (2025) 094.
- M. Hoferichter, P. Stoffer, and M. Zillinger, Dispersion relation for hadronic light-by-light scattering: subleading contributions, J. High Energy Phys. 02 (2025) 121.
- S. Holz, M. Hoferichter, B.-L. Hoid, and B. Kubis, Dispersion relation for hadronic light-by-light scattering: and poles, J. High Energy Phys. 04 (2025) 147.
- L. Cappiello, J. Leutgeb, J. Mager, and A. Rebhan, Tensor meson transition form factors in holographic QCD and the muon , J. High Energy Phys. 07 (2025) 033.
- F. Jegerlehner, The Anomalous Magnetic Moment of the Muon, Springer Tracts in Modern Physics (Springer, Cham, 2017), Vol. 274, p. 1.
- M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, Reevaluation of the hadronic vacuum polarisation contributions to the standard model predictions of the muon and using newest hadronic cross-section data, Eur. Phys. J. C 77, 827 (2017).
- A. Keshavarzi, D. Nomura, and T. Teubner, Muon and : A new data-based analysis, Phys. Rev. D 97, 114025 (2018).
- A. Keshavarzi, D. Nomura, and T. Teubner, of charged leptons, , and the hyperfine splitting of muonium, Phys. Rev. D 101, 014029 (2020).
- M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, Polarisation contributions to the muon anomalous magnetic moment and to , Eur. Phys. J. C 80, 241 (2020); Erratum to: A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to , 80, 410 (2020).
- B.-L. Hoid, M. Hoferichter, and B. Kubis, Hadronic vacuum polarization and vector-meson resonance parameters from , Eur. Phys. J. C 80, 988 (2020).
- C. Bouchiat and L. Michel, La résonance dans la diffusion méson —méson et le moment magnétique anormal du méson , J. Phys. Radium 22, 121 (1961).
- S. J. Brodsky and E. de Rafael, Suggested boson-lepton pair couplings and the anomalous magnetic moment of the muon, Phys. Rev. 168, 1620 (1968).
- N. M. Kroll and W. Wada, Internal pair production associated with the emission of high-energy gamma rays, Phys. Rev. 98, 1355 (1955).
- L. G. Landsberg, Electromagnetic decays of light mesons, Phys. Rep. 128, 301 (1985).
- J. J. Sakurai, Currents and Mesons (University of Chicago Press, Chicago, 1969).
- S. Navas et al., (Particle Data Group), Review of particle physics*, Phys. Rev. D 110, 030001 (2024).
- R. Arnaldi et al., Precision study of the and electromagnetic transition form-factors and of the - line shape in NA60, Phys. Lett. B 757, 437 (2016).
- T. Husek, K. Kampf, and J. Novotný, Radiative corrections to the Dalitz decay revisited, Phys. Rev. D 92, 054027 (2015).
- K. Mikaelian and J. Smith, Radiative corrections to the decay , Phys. Rev. D 5, 1763 (1972).
- C. Lazzeroni et al., Measurement of the electromagnetic transition form factor slope, Phys. Lett. B 768, 38 (2017).
- K. A. Olive et al., (Particle Data Troup), Review of particle physics Chin. Phys. C 38, 090001 (2014).
- H. J. Behrend et al., A measurement of the , and electromagnetic form factors, Z. Phys. C 49, 401 (1991).
- P. Masjuan, transition form factor at low energies from a model-independent approach, Phys. Rev. D 86, 094021 (2012).
- J. Gronberg et al., Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer, Phys. Rev. D 57, 33 (1998).
- P. del Amo Sanchez et al., Measurement of the and transition form factors, Phys. Rev. D 84, 052001 (2011).
- S. Uehara et al., Measurement of transition form factor at Belle, Phys. Rev. D 86, 092007 (2012).
- M. Hoferichter, B. Kubis, S. Leupold, F. Niecknig, and S. P. Schneider, Dispersive analysis of the pion transition form factor, Eur. Phys. J. C 74, 3180 (2014).
- F. Niecknig, B. Kubis, and S. P. Schneider, Dispersive analysis of and decays, Eur. Phys. J. C 72, 2014 (2012).
- M. Hoferichter, B. Kubis, and D. Sakkas, Extracting the chiral anomaly from , Phys. Rev. D 86, 116009 (2012).
- H. Herminghaus et al., Status report on the normal conducting CW racetrack microtron cascade “MAMI”, in IEEE Transactions on Nuclear Science (IEEE, Piscataway, NJ, 1983), Vol. 30, pp. 3274–3278.
- K.-H. Kaiser et al., The 1.5 GeV harmonic double-sided microtron at Mainz University, Nucl. Instrum. Methods Phys. Res. A 593, 159 (2008).
- J. C. McGeorge et al., Upgrade of the Glasgow photon tagging spectrometer for Mainz MAMI-C, Eur. Phys. J. A 37, 129 (2008).
- E. Mornacchi, Measurement of the proton scalar polarizabilities at MAMI, Ph.D. thesis, Johannes Gutenberg-Universität Mainz, 2021.
- A. Starostin et al., Measurement of near threshold, Phys. Rev. C 64, 055205 (2001).
- R. Novotny, The BaF/sub 2/ photon spectrometer TAPS, in IEEE Transactions on Nuclear Science (IEEE, Piscataway, NJ, 1991), Vol. 38, pp. 379–385.
- A. R. Gabler et al., Response of TAPS to monochromatic photons with energies between 45 and 790 MeV, Nucl. Instrum. Methods Phys. Res. A 346, 168 (1994).
- S. Prakhov et al., Measurement of the slope parameter for the decay with the Crystal Ball detector at the Mainz Microtron (MAMI-C), Phys. Rev. C 79, 035204 (2009).
- E. F. McNicoll et al., Experimental study of the reaction with the Crystal Ball detector at the Mainz Microtron (MAMI-C), Phys. Rev. C 82, 035208 (2010).
- D. Watts, in Proceedings of the 11th International Conference on Calorimetry in Particle Physics, Perugia, Italy, 2004 (World Scientific, Singapore, 2005), p. 560.
- D. Hornidge et al., Accurate test of chiral dynamics in the reaction, Phys. Rev. Lett. 111, 062004 (2013).
- P. Adlarson et al., Measurement of photoproduction on the proton at MAMI C, Phys. Rev. C 92, 024617 (2015).
- R. L. Workman, M. W. Paris, W. J. Briscoe, and I. I. Strakovsky, Unified Chew-Mandelstam SAID analysis of pion photoproduction data, Phys. Rev. C 86, 015202 (2012).
- W. J. Briscoe, D. Schott, I. I. Strakovsky, and R. L. Workman, Institute of Nuclear Studies of The George Washington University Database: http://gwdac.phys.gwu.edu/analysis/pr_analysis.html.
- R. Barlow and C. Beeston, Fitting using finite Monte Carlo samples, Comput. Phys. Commun. 77, 219 (1993).