Hadronic Vacuum Polarization in True Muonium

Abstract

The leading-order hadronic vacuum polarization contribution to the hyperfine splitting of true muonium is reevaluated in two ways. The first considers a more complex pionic form factor and better estimates of the perturbative QCD contributions. The second, more accurate method directly integrates the Drell ratio $R(s)$ to obtain $C_{1,\mathrm{hvp}}=-0.0489(3)$. This corresponds to an energy shift in the hyperfine splitting of $\Delta E_{hfs,\mathrm{hvp}}^{\mu }=276196(51)$ MHz.

arXiv comment5 pages, 1 figure

References in corpus (38)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops
• Muonic hydrogen and MeV forces
• Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)
• New Parity-Violating Muonic Forces
• Spectroscopy as a test of Coulomb's law - A probe of the hidden sector
• Loopy Constraints on Leptophilic Dark Matter and Internal Bremsstrahlung
• Constraining Disformally Coupled Scalar Fields
• Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD
• Laboratory tests of Lorentz and CPT symmetry with muons
• Precision physics of simple atoms and constraints on a light boson with ultraweak coupling
• New Physics and the Proton Radius Problem
• Constraints on muon-specific dark forces
• Constraint on parity-violating muonic forces
• Electrophobic Scalar Boson and Muonic Puzzles
• Leading-order hadronic contribution to the electron and muon g-2
• The bound mu+ mu- system
• Constraints on a long-range spin-independent interaction from precision atomic physics
• Decay Rate and Hyperfine Structure of the bound mu+ mu- system
• Proton radius puzzle and large extra dimensions
• Probing New Physics with Underground Accelerators and Radioactive Sources
• Theoretical precision in estimates of the hadronic contributions to (g-2)_mu and alpha_QED(M_Z)
• Proton radius puzzle and quantum gravity at the Fermi scale
• The role of sigma(e+e- -> hadrons) in precision tests of the Standard Model
• Three-photon-annihilation contributions to positronium energies at order $m{\alpha }^7$
• Constraints on a long-range spin-dependent interaction from precision atomic physics
• Positronium hyperfine splitting at order $m{\alpha }^7$: light-by-light scattering in the two-photon-exchange channel
• Constraint on axion-like particles from atomic physics
• Electroweak Corrections to the True Muonium Hyperfine Splitting
• HFS interval of the $2s$ state of hydrogen-like atoms and a constraint on a pseudovector boson with mass below $1$keV$/c^2$
• Can Galileons solve the muon problem?
• Extending theories on muon-specific interactions
• Hyperfine Splitting in True Muonium to $\mathcal{O}(m_{\mu }{\alpha }^6)$: Two Photon Annihilation Contribution from Other Flavors
• Applying Bayesian Inference to Galileon Solutions of the Muon Problem
• The Muon Experimental Anomalies Are Explained by a New Interaction Proportional to Charge

Cited by in corpus (8)

• Predicting and Discovering True Muonium
• Discovering True Muonium in $K_L\to ({\mu }^{+}{\mu }^{-})\gamma$
• True muonium resonant production at $e^{+}{e}^{-}$ colliders with standard crossing angle
• Scouring meson decays for true muonium
• Fifth Force and Hyperfine Splitting in Bound Systems
• CFNS Ad-Hoc meeting on Radiative Corrections Whitepaper
• Dark sector searches with high-intensity positron beams in the CERN North Area
• Transition of dimuonium through foil