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Appel, R.; Atoyan, G. S.; Bassalleck, B.; Bergman, D. R.; Brown, D. N.; Cheung, N.W.; Dhawan, S. K.; Do, Hyo-Sang; Egger, J.; Eilerts, S.; Felder, C.; Fischer, H.; Gach, M.; Herold, W.; Issakov, Vadim; Kaspar, H.; Kraus, D.; Lazarus, D. M.; Leipuner, L. B.; Lichard, P.; Lowe, J.; Lozano, J.; Ma, Hui; Majid, Walid A.; Menzel, W.; Pislak, S.; Poblaguev, A.; Postoev, V. E.; Proskurjakov, A. L.; Řehák, P.; Robmann, P.; Sher, A.; Thomas, T. L.; Thompson, J.; Truöl, P.; Weyer, H. J.; Zeller, M.

doi:10.1103/physrevlett.83.4482

Cited by 68 publications

(45 citation statements)

References 16 publications

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“…3 by the solid curve, as a function of m Z d . Equation (10) and the uncertainties of the experimentally measured branching ratios of K AE → π AE l þ l − [1,52,53] roughly yield for…”

Section: Dark Kaon Decaysmentioning

confidence: 99%

Muong−2, rare kaon decays, and parity violation from dark bosons

2014

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The muon g μ − 2 discrepancy between theory and experiment may be explained by a light vector boson Z d that couples to the electromagnetic current via kinetic mixing with the photon. We illustrate how the existing electron g e − 2, pion Dalitz decay, and other direct production data disfavor that explanation if the Z d mainly decays into e þ e − , μ þ μ − . Implications of a dominant invisible Z d decay channel, such as light dark matter, along with the resulting strong bounds from the rare K → π + missing energy decay are examined. The K decay constraints may be relaxed if destructive interference effects due to Z − Z d mass mixing are included. In that scenario, we show that accommodating the g μ − 2 data through relaxation of K decay constraints leads to interesting signals for dark parity violation. As an illustration, we examine the alteration of the weak mixing angle running at low Q 2 , which can be potentially observable in polarized electron scattering or atomic physics experiments.

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“…3 by the solid curve, as a function of m Z d . Equation (10) and the uncertainties of the experimentally measured branching ratios of K AE → π AE l þ l − [1,52,53] roughly yield for…”

Section: Dark Kaon Decaysmentioning

confidence: 99%

Muong−2, rare kaon decays, and parity violation from dark bosons

2014

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“…[106] gives the correspondence between the two sets of parameters] and used in order to analyze the data in refs. [55][56][57]. Notice that the linear slope α + is determined quite accurately, at less than 4%, whereas the curvature β + is only known with a relative precision of about 35%.…”

Section: The Form Factors Beyond One Loopmentioning

confidence: 99%

“…Here, we will limit our attention to the results coming from the high-statistics experiments [55,56] for the electron mode, and [57] for the muon mode. For the electron channel, the experimental data for |W + (z)| are shown on figure 3.…”

Section: Extraction Of a +S And B +S From Recent Datamentioning

confidence: 99%

“…The NA48/2 data [56,57] are available on the HEPData repository [107, 108] 1 . Data points for the E865 experiment [55] do not seem to be available on a public repository. For both experiments, the uncertainties given for the individual data points are statistical only.…”

Section: Extraction Of a +S And B +S From Recent Datamentioning

confidence: 99%

“…[51][52][53][54] and the decays have subsequently been studied more precisely with high statistics in refs. [55][56][57], these more recent experiments providing also detailed information on the decay distribution. The latest PDG averages for the branching fractions are [58] Br[K + → π + e + e − ] = (3.00 ± 0.09) × 10 −7 , Br[K + → π + µ + µ − ] = (9.4 ± 0.6) × 10 −8 , (1.2) where the error on the muonic mode includes a scale factor S = 2.6 due to the conflict with the result reported upon in ref.…”

Section: Introductionmentioning

confidence: 99%

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On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes

D’Ambrosio

Greynat²,

Knecht

2019

J. High Energ. Phys.

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The amplitudes for the rare decay modes K ± → π ± ℓ + ℓ − and K S → π 0 ℓ + ℓ − are studied with the aim of obtaining predictions for them, such as to enable the possibility to search for violations of lepton-flavour universality in the kaon sector. The issue is first addressed from the perspective of the low-energy expansion, and a two-loop representation of the corresponding form factors is constructed, leaving as unknown quantities their values and slopes at vanishing momentum transfer. In a second step a phenomenological determination of the latter is proposed. It consists of the contribution of the resonant two-pion state in the P wave, and of the leading short-distance contribution determined by the operator-product expansion. The interpolation between the two energy regimes is described by an infinite tower of zero-width resonances matching the QCD shortdistance behaviour. Finally, perspectives for future improvements in the theoretical understanding of these amplitudes are discussed. Contents 1 Introduction 1 2 Theory overview 5 2.1 The structure of the form factors in three-flavour QCD 5 2.2 Properties of the form factors at high momentum transfer 8 3 Low-energy expansion of the weak form factors 12 3.1 The form factors at one loop 12 3.2 The form factors beyond one loop 16 4 Extraction of a +,S and b +,S from recent data 16 5 The two-loop representation of the form factors 20 5.1 Construction of the form factors to two loops 21 5.2 Comparing W +,S;2L (z) and W +,S;b1L (z) 23 6 W + (z) beyond the low-energy expansion 25 6.1 The contribution from the two-pion state 26 6.2 Intermediate states with higher thresholds 28 6.3 The contribution from the factorized Q 7V operator 33 6.4 Evaluations of a + and b + 34 7 Summary, conclusions, outlook 35 7.1 Extracting a +,S and b +,S from recent data 35 7.2 The low-energy expansion of the form factors to two loops 35 7.3 Contribution from the two-pion state 35 7.4 Matching with the short-distance regime 36 7.5 Conclusion 36 A Numerical values 37 B The computation of ψ +,S (s) 37

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Kaon Decays and the Flavour Problem

Isidori¹

2003

International Conference on Theoretical Physics

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New Measurement of the Properties of the Rare DecayK+→π+e+

Cited by 68 publications

References 16 publications

Muong−2, rare kaon decays, and parity violation from dark bosons

Muong−2, rare kaon decays, and parity violation from dark bosons

On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes

Kaon Decays and the Flavour Problem

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