Chiral extrapolation of hadronic vacuum polarization and isospin-breaking corrections

Hoferichter, Martin; Colangelo, Gilberto; Hoid, Bai-Long; Kubis, Bastian; Elvira, J. Ruiz de; Stamen, Dominik; Stoffer, Peter

doi:10.22323/1.430.0316

Cited by 7 publications

(3 citation statements)

References 45 publications

(58 reference statements)

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“…the channel 0 + opens in QCD+QED and also close to other thresholds (see Refs. [15,16]). Nevertheless, we notice that in order to explain the observed tension at ∼ 0.8 GeV and ∼ 0.6 GeV an isospin breaking effect larger than 2% would be needed and this is hard to reconcile with the first principle lattice calculation performed in Ref.…”

Section: Pos(lattice2022)307mentioning

confidence: 99%

Lattice calculation of the R-ratio smeared with Gaussian kernels

Santis¹,

Alexandrou²,

Bacchio³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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The ratio ( ) of the cross-sections for + − → hadrons and + − → + − is a valuable energy-dependent probe of the hadronic sector of the Standard Model. Moreover, the experimental measurements of ( ) are the inputs of the dispersive calculations of the leading hadronic vacuum polarization contribution to the muon − 2 and these are in significant tension with direct lattice calculations and with the muon − 2 experiment.In this talk we discuss the results of our first-principles lattice study of ( ). By using a recently proposed method for extracting smeared spectral densities from Euclidean lattice correlators, we have calculated ( ) convoluted with Gaussian kernels of different widths and central energies up to 2.5 GeV. Our theoretical results have been compared with the KNT19 [1] compilation of experimental results smeared with the same Gaussian kernels and a tension (about three standard deviations) has been observed for ∼ 600 MeV and central energies around the -resonance peak.

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Section: Pos(lattice2022)307mentioning

confidence: 99%

Lattice calculation of the R-ratio smeared with Gaussian kernels

Santis¹,

Alexandrou²,

Bacchio³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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“…Puzzles in the hadronic contributions to the muon anomalous magnetic moment has been compared to a phenomenological evaluation of isospin-breaking effects in Refs. [81][82][83][84][85], which found that the lattice calculation of these contributions cannot be the source of the discrepancy. Whether radiative corrections on the experimental side could provide an explanation of the puzzle is the subject of ongoing research [86][87][88][89][90].…”

Section: Pos(fpcp2023)042mentioning

confidence: 99%

Puzzles in the hadronic contributions to the muon anomalous magnetic moment

Colangelo,

Hoferichter,

Stoffer

2023

Proceedings of 21st Conference on Flavor Physics and CP Violation — PoS(FPCP2023)

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We summarize recent developments in the Standard-Model evaluation of the anomalous magnetic moment of the muon 𝑎 𝜇 , both in the hadronic-light-by-light and hadronic-vacuum-polarization contributions. The current situation for the latter is puzzling as we are confronted with multiple discrepancies that are not yet understood. We present updated fits of a dispersive representation of the pion vector form factor to the new CMD-3 data set and quantify the tensions with the other high-statistics 𝑒 + 𝑒 − → 𝜋 + 𝜋 − experiments in the contribution to 𝑎 𝜇 in the energy range up to 1 GeV, as well as in the corresponding contribution to the intermediate Euclidean window.

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“…After the presentation of the current work at the Conference, updates on the parametrization of the L → * * transition form factor based on a dispersive approach became available [5,6], which would sharpen the estimate of the two-photon LD contribution to the complex L → + − decay amplitude from phenomenology.…”

Section: Formalismmentioning

confidence: 99%

$K_L\rightarrow\mu^+\mu^-$ from lattice QCD

Chao,

Christ,

Feng

et al. 2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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We propose a lattice-QCD-suitable framework for computing the two-photon long-distance contribution to the complex L → + − decay amplitude, where QED is treated perturbatively in the continuum and infinite-volume. We provide preliminary numerical results on the quark-connected diagrams on one ensemble at physical pion mass from this method, with well-controlled systematic errors. The successful application of this method will allow the determination of the dispersive part of the aforementioned contribution from first-principles and enable a meaningful comparison between the Standard-Model prediction and experiment.

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Chiral extrapolation of hadronic vacuum polarization and isospin-breaking corrections

Cited by 7 publications

References 45 publications

Lattice calculation of the R-ratio smeared with Gaussian kernels

Lattice calculation of the R-ratio smeared with Gaussian kernels

Puzzles in the hadronic contributions to the muon anomalous magnetic moment

$K_L\rightarrow\mu^+\mu^-$ from lattice QCD

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