2020
DOI: 10.1103/physrevd.101.054015
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Kaon-box contribution to the anomalous magnetic moment of the muon

Abstract: We present results for the charged kaon-box contributions to the hadronic light-by-light (HLBL) correction of the muon's anomalous magnetic moment. To this end we determine the kaon electromagnetic form factor within the functional approach to QCD using Dyson-Schwinger and Bethe-Salpeter equations and evaluate the kaon-box contribution as defined in the dispersive approach to HLBL. As an update to previous work we also re-evaluate the charged pion-box contribution taking effects due to isospin breaking into ac… Show more

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Cited by 102 publications
(74 citation statements)
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“…In recent years, major progress has been made in determining the hadronic light-by-light (LbL) contribution, a had;LbL μ , from dispersive approaches and from LQCD. The latest datadriven and dispersive hadronic LbL results [26][27][28][29][30][31]33,[47][48][49][50][51][52][53][54][55][56][57] and first complete LQCD evaluation [32] confirm the previously accepted model-based "Glasgow consensus" result [58], thereby eliminating the hadronic LbL sector as the source of the muon g − 2 discrepancy. This leaves the hadronic vacuum polarization (VP) contributions, a had;VP μ , as the remaining SM candidate to explain Δa μ .…”
Section: Introductionsupporting
confidence: 68%
“…In recent years, major progress has been made in determining the hadronic light-by-light (LbL) contribution, a had;LbL μ , from dispersive approaches and from LQCD. The latest datadriven and dispersive hadronic LbL results [26][27][28][29][30][31]33,[47][48][49][50][51][52][53][54][55][56][57] and first complete LQCD evaluation [32] confirm the previously accepted model-based "Glasgow consensus" result [58], thereby eliminating the hadronic LbL sector as the source of the muon g − 2 discrepancy. This leaves the hadronic vacuum polarization (VP) contributions, a had;VP μ , as the remaining SM candidate to explain Δa μ .…”
Section: Introductionsupporting
confidence: 68%
“…Heavier intermediate states have been considered in refs. [29][30][31][32][33][34]. The heavy-quark contribution from charm is sufficiently well estimated from the quark loop and estimates of non-perturbative contributions and that of the bottom and top quarks are negligible [1,[35][36][37].…”
Section: Jhep04(2021)240mentioning
confidence: 78%
“…[49][50][51][52], the ultimate precision expected from the Fermilab [53] and J-PARC [54] experiments demands that also the second-most-uncertain contribution, hadronic light-by-light (HLbL) scattering, be further improved. The uncertainty of the current phenomenological estimate, a HLbL µ = 92(19) × 10 −11 [9,[22][23][24][25][26][27][28][29][30][31][55][56][57][58][59][60], is dominated by the intermediate-and high-energy regions of the loop integral. In fact, while at low energies the few dominant hadronic channels can be taken into account explicitly in a dispersive approach [61][62][63][64][65] -in terms of pseudoscalar TFFs and partial-wave amplitudes for γ * γ * → ππ [66][67][68][69][70][71] -between (1-2) GeV multi-hadron channels become relevant, which ultimately need to be matched to short-distance constraints for the HLbL amplitude [22,[29][30][31][72][73][74][75][76].…”
Section: Introductionmentioning
confidence: 93%