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Z0 decaying leptons as a probe of electromagnetic field and quantum radiation reaction

Yifeng Sun

Shanghai Jiao Tong University

8th International Workshop on Nuclear Dynamics in Heavy-ion Reactions

Taiyuan Shanxi, Aug. 21-25, 2026

Collaborators: Linghai Li, Xin-Nian Wang, Vincenzo Greco

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Outline

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Introduction: electromagnetic (e.m.) field effects, strong field quantum electrodynamics (SFQED) and radiation reaction

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Z0 leptonic invariant mass as a probe of e.m. field and quantum radiation reaction

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Summary

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Introduction E.m. fields & quantum radiation reaction Summary

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Outline

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Introduction: electromagnetic (e.m.) field effects, strong field quantum electrodynamics (SFQED) and radiation reaction

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Z0 leptonic invariant mass as a probe of e.m. field and quantum radiation reaction

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Summary

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Introduction E.m. fields & quantum radiation reaction Summary

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Electromagnetic (e.m.) field effects

Electromagnetic fields have long given rise to important and intriguing phenomena in physics

D. Lai, RMP 73, 629 (2001)

R. Durrer and A. Neronov, AAR 21, 62 (2013)

A. Gonoskov et al., RMP 94, 045001 (2022)

10-12 10-8 10-4 100 T 104 108 1012 1016

Stellar, Galaxy & Galaxy-cluster Near-Earth Space Laboratory Systems Compact Stars Heavy-Ion Collisions

Stellar evolution

Cosmic ray acceleration

AGN feedback

Large-scale structure formation

Solar wind deflection

Cosmic ray cutoff

Charged particle trapping

Magnetic reconnection

Zeeman effect

Magnetic resonance

Magnetoresistance

Meissner effect

Quantum Hall effect

Quantum oscillations

Abrikosov vortices

Phase transitions

Magnetic deformation of atoms

Photon splitting

Magnetic pair conversion

Vacuum birefringence

Chiral magnetic transport

Phase transition

Quarkonium mixing

Spin polarization and alignment

SFQED:

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SFQED

A. Gonoskov et al., RMP 94, 045001 (2022)

The cube of relativistic, quantum, and strong-field physics

High-intensity laser facilities relevant to SFQED

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Radiation Reaction (RR)

Synchrotron radiation power spectrum

T.N. Wistisen et al., NC 795 (2018)

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Radiation Reaction (RR)

Experimental verification of a quantum, strong-field description of radiation reaction is fundamentally important

Radiation reaction: recoil force experienced by an accelerated charge due to radiation emission

Lorentz-Abraham-Dirac (LAD) model

P. A. M. Dirac, PRSA 167 (929), 148 (1938)

Landau-Lifshitz (LL) model

L. D. Landau, and E. M. Lifshitz, The Classical Theory of Field (1941)

Self-accelerating (runaway) solution

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Current Experimental Status

A high significance ( > 5σ) observation of strong-field radiation reaction (RR) is found;

Strong evidence favouring the quantum model over the classical model

E.E. Los et al., NC 17, 1157 (2026)

Quantum nonlinearity invariant parameter:

Introduction E.m. fields & quantum radiation reaction Summary

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Outline

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Introduction: electromagnetic (e.m.) field effects, strong field quantum electrodynamics (SFQED) and radiation reaction

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Z0 leptonic invariant mass as a probe of e.m. field and quantum radiation reaction

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Summary

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Introduction E.m. fields & quantum radiation reaction Summary

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Hadron Directed Flow as A Probe of E.M. Field

STAR Collaboration, PRX 14, 011028 (2024)

Electromagnetic Field:

Using hadrons as probes is complicated by their interactions with the QGP and hadronic matter, as well as by the hadronization mechanism

ALICE Collaboration, PRL 125 (2020), 022301

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More Ideal Probe

Leptons from Z0 decay as an ideal probe

  • Form early: ~ 0.1 fm/c, before QGP forms
  • Clean signal: no strong interaction with QGP & no hadronization
  • Clean reconstruction: well-measured leptonic final states

High Precision

Sun, Greco and Wang, PLB 827, 136962 (2022)

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Experimental Preliminary Data

Qualitatively reproduces the sign and centrality-dependent trends of both the mean and the width in the dimuon channel;

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CMS Collaboration, QM2025

Sun, Greco and Wang, PLB 827, 136962 (2022)

Remaining work:

  • Implement experimental kinematic cut
  • Include radiation contributions

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Kinematic Cuts Impact

 

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RR Impact

Near-instantaneous energy loss: The classical LL model predicts an almost complete depletion of the dimuon energy

L. D. Landau, and E. M. Lifshitz, The Classical Theory of Field (1941)

ALICE Collaboration, JHEP 09 (2020) 076

Larmor formula of radiation:

LHC Z0 decaying muon kinematics

Muon: dE/dt=-8.44×105 GeV/(fm/c)

Lorentz force: 7.3 GeV/(fm/c)

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Quantum Correction on RR

V. B. Berestetsky, E. M. Lifshitz and L. P. Pitaevsky, “Quantum Electrodynamics,” §90

Quantum corrections

  • Quantization of the motion of the particle
  • Quantum recoil when a photon is emitted

Gaunt factor:

CMS Collaboration, QM2025

Substantially improved agreement: including radiation reaction brings the predicted dimuon mean value much closer to the preliminary measurement.

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Joint Measurement

V. B. Berestetsky, E. M. Lifshitz and L. P. Pitaevsky, “Quantum Electrodynamics,” §90

A unique test of quantum radiation: for , the explicit lepton-mass dependence vanishes, making a combined comparison of the dimuon and dielectron channels especially powerful.

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Dielectron Channel

Exclusion of classical radiation reaction: the dielectron channel measurement could decisively discriminate between classical and quantum descriptions.

E.M. field: 10-2 lasts 1 fm/c

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Summary

  • Leptons from Z0 decay provide clean probes of electromagnetic fields in heavy-ion collisions
  • Combined measurements of Z0 bosons reconstructed in the dimuon and dielectron channels can test quantum corrections to radiation reaction
  • Measurement of Z0 bosons reconstructed in the dielectron channel may exclude a purely classical description of radiation reaction
  • Future developments:
    • Continuous vs stochastic
    • Other and higher-order strong-field QED processes

Thank you!

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