Precise tests of low energy QCD from $\mbox {$\mathrm {K}_{\mathrm {e}4}$}$ decay properties

Batley, J. R.; Kalmus, G.; Lazzeroni, C.; Munday, D.J.; Slater, M. W.; Wotton, S. A.; Arcidiacono, R.; Bocquet, G.; Cabibbo, N.; Ceccucci, A.; Cundy, D.; Falaleev, V.; Fidecaro, M.; Gatignon, L.; Gonidec, A.; Kubischta, W.; Norton, A.; Maier, A.; Patel, M.; Peters, A.; Balev, S.; Frabetti, P. L.; Goudzovski, E.; Hristov, P.; Kekelidze, V.; Kozhuharov, V.; Litov, L.; Madigozhin, D.; Marinova, E.; Molokanova, N.; Polenkevich, I.; Potrebenikov, Yu.; Stoynev, S.; Zinchenko, A.; Monnier, E.; Swallow, E. C.; Winston, R.; Rubin, P.; Walker, A.; Baldini, W.; Ramusino, A. Cotta; Dalpiaz, P.; Damiani, C.; Fiorini, M.; Gianoli, A.; Martini, M.; Petrucci, F.; Savrié, M.; Scarpa, M.; Wahl, H.; Bizzeti, A.; Lenti, M.; Veltri, M.; Calvetti, M.; Celeghini, E.; Iacopini, E.; Ruggiero, G.; Behler, M.; Eppard, K.; Kleinknecht, K.; Marouelli, P.; Masetti, L.; Moosbrugger, U.; Morales, C. Morales; Renk, B.; Wache, M.; Wanke, R.; Winhart, A.; Coward, D.; Dabrowski, A.; Martin, T. Fonseca; Shieh, M.; Szleper, M.; Velasco, M.; Wood, Max; Cenci, P.; Pepé, M.; Petrucci, M. C.; Anzivino, G.; Imbergamo, E.; Nappi, A.; Piccini, M.; Raggi, M.; Valdata‐Nappi, M.; Cerri, C.; Fantechi, R.; Collazuol, G.; DiLella, L.; Lamanna, G.; Mannelli, I.; Michetti, A.; Costantini, F.; Doble, N.; Fiorini, L.; Giudici, S.; Pierazzini, G.; Sozzi, M.; Venditti, S.; Bloch-Devaux, B.; Cheshkov, C.; Chèze, J.B.; Beer, M. De; Derré, J.; Marel, G.; Mazzucato, E.; Peyaud, B.; Vallage, B.; Holder, M.; Ziolkowski, M.; Biino, C.; Cartiglia, N.; Marchetto, F.; Bifani, S.; Clemencic, M.; Lopez, S. Goy; Dibon, H.; Jeitler, M.; Markytan, M.; Mikulec, I.; Neuhofer, G.; Widhalm, L.

doi:10.1140/epjc/s10052-010-1480-6

Cited by 123 publications

(225 citation statements)

References 44 publications

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“…We obtain results that are in good agreement with the ones from the NA48/2 collaboration for the S-P fit (so-called Model B in Ref. [28]: a 0 0 = 0.222 ± 0.013 and a 2 0 = −0.043 ± 0.009) but with slightly larger errors once isospin-breaking corrections are included. This is not surprising since our isospin-breaking correction varies with a 0 0 and a 2 0 .…”

Section: Re-analysis Of Na48/2 Resultssupporting

confidence: 87%

“…We will use our computation of the isospin-breaking correction ∆ IB (s, s ℓ ) as a function of the two scattering lengths a 0 0 and a 2 0 to perform an analysis of the available phase shifts from K ± e4 decays, as provided by the old Geneva-Saclay experiment [23], the BNL-E865 experiment [24], and finally the quite recent NA48/2 experiment [27,28] at the CERN SPS. Actually, the high accuracy of the latter analysis dominates completely the discussion, and we will only consider the data coming from NA48/2 in the following.…”

Section: Re-analysis Of Na48/2 Resultsmentioning

confidence: 99%

“…It appears that the available statistics has not allowed the NA48/2 experiment to identify a dependence of the phases on s ℓ [27,28]. Another one of our aims will be to check that, from the theoretical side, the dependence on s ℓ is indeed sufficiently small, as compared to other sources of error.…”

Section: Analyticity and Unitarity Propertiesmentioning

confidence: 99%

“…The values of the energies reported in the first column correspond to the central values of the bins in the dipion invariant mass discussed in Ref. [28]. One can see that ∆f 0 is dominated by the subtraction constants ∆π 0,F , ∆π 1,F [where ∆π i,F/G = (1 + 2 √ 3ǫ 2 )π +− i,F/G − π 00 i,F/G ] and by the combination of s-dependent functions ∆ S (s) = (1 + 2 √ 3ǫ 2 )Re ∆ +− F (s) − Re ∆ 00 (s), whereas the cumbersome integrals over t are negligible.…”

Section: B Isospin Breaking In the Two-loop Phasesmentioning

confidence: 99%

“…Another analysis of the data available at that time (including I = 2 low-energy phase shifts) favoured a slightly larger value for a 2 0 , 1 σ away from the two-loop χPT prediction [26]. Recently, the NA48/2 collaboration has performed a remarkable work in collecting high-statistics K ± e4 data at the CERN SPS [27,28]. After the announcement of the preliminary results of NA48/2 [29], it was pointed out that the high level of accuracy reached by the experiments in extracting the ππ phase shifts required taking into account isospin-breaking effects [30].…”

Section: Introductionmentioning

confidence: 99%

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Isospin breaking in the phases of the K e4 form factors

2013

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Isospin breaking in the K ℓ4 form factors induced by the difference between charged and neutral pion masses is studied. Starting from suitably subtracted dispersion representations, the form factors are constructed in an iterative way up to two loops in the low-energy expansion by implementing analyticity, crossing, and unitarity due to two-meson intermediate states. Analytical expressions for the phases of the two-loop form factors of the K ± → π + π − e ± νe channel are given, allowing one to connect the difference of form-factor phase shifts measured experimentally (out of the isospin limit) and the difference of S-and P -wave ππ phase shifts studied theoretically (in the isospin limit). The isospin-breaking correction consists of the sum of a universal part, involving only ππ rescattering, and a process-dependent contribution, involving the form factors in the coupled channels. The dependence on the two S-wave scattering lengths a 0 0 and a 2 0 in the isospin limit is worked out in a general way, in contrast to previous analyses based on one-loop chiral perturbation theory. The latter is used only to assess the subtraction constants involved in the dispersive approach. The two-loop universal and process-dependent contributions are estimated and cancel partially to yield an isospin-breaking correction close to the one-loop case. The recent results on the phases of K ± → π + π − e ± νe form factors obtained by the NA48/2 collaboration at the CERN SPS are reanalysed including this isospin-breaking correction to extract values for the scattering lengths a 0 0 and a 2 0 , as well as for low-energy constants and order parameters of two-flavour χPT.

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Section: Re-analysis Of Na48/2 Resultssupporting

confidence: 87%

Section: Re-analysis Of Na48/2 Resultsmentioning

confidence: 99%

Section: Analyticity and Unitarity Propertiesmentioning

confidence: 99%

Section: B Isospin Breaking In the Two-loop Phasesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Isospin breaking in the phases of the K e4 form factors

2013

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A model-independent analysis of final-state interactions in B ¯ d / s 0 → J / ψ π π $$ {\overline{B}}_{d/s}^0\to J/\psi \pi \pi $$

Daub¹,

Hanhart

Kubis³

2016

J. High Energ. Phys.

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Exploiting B-meson decays for Standard Model tests and beyond requires a precise understanding of the strong final-state interactions that can be provided modelindependently by means of dispersion theory. This formalism allows one to deduce the universal pion-pion final-state interactions from the accurately known ππ phase shifts and, in the scalar sector, a coupled-channel treatment with the kaon-antikaon system. In this work an analysis of the decaysB 0 d → J/ψπ + π − andB 0 s → J/ψπ + π − is presented. We find very good agreement with the data up to 1.05 GeV in the ππ invariant mass, with a number of parameters reduced significantly compared to a phenomenological analysis. In addition, the phases of the amplitudes are correct by construction, a crucial feature for many CP violation measurements in heavy-meson decays.

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New physics in s → d semileptonic transitions: rare hyperon vs. kaon decays

Geng

Camalich

Shi

2022

J. High Energ. Phys.

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We investigate the potential of rare hyperon decays to probe the short distance structure in the $$ s\to dv\overline{v} $$ s → dv v ¯ and s → dℓ+ℓ− transitions. Hyperon decays into neutrinos $$ \left({B}_1\to {B}_2v\overline{v}\right) $$ B 1 → B 2 v v ¯ can be reliably predicted by using form factors determined in baryon chiral perturbation theory. Their decay rates are sensitive to different short-distance operators, as compared to their kaon counterparts, and the corresponding branching fractions are in the range of 10−14 ∼ 10−13 in the standard model. In the context of the low-energy effective theory, we find that the anticipated BESIII measurements of the $$ {B}_1\to {B}_2v\overline{v} $$ B 1 → B 2 v v ¯ decays would lead to constraints on new physics in the purely axial vector $$ \overline{d}{\gamma}_{\mu }{\gamma}_5s $$ d ¯ γ μ γ 5 s current that are stronger than the present limits from their kaon siblings $$ K\to \pi \pi v\overline{v} $$ K → ππv v ¯ . On the other hand, although hyperon decays into charged leptons are dominated by long-distance hadronic contributions, angular observable such as the leptonic forward-backward asymmetry is sensitive to the interference between long- and short-distance contributions. We discuss the sensitivity to new physics of a potential measurement of this observable in comparison with observables in the kaon decays KL→ μ+μ− and K+→ π+μ+μ−. We conclude that the current kaon bounds are a few orders of magnitude better than those that could be obtained from Σ+→ pμ+μ− except for two scenarios with new physics in the $$ \left(\overline{d}{\gamma}^{\mu }s\right)\left(\overline{\mathrm{\ell}}{\gamma}_{\mu }{\gamma}_5\mathrm{\ell}\right) $$ d ¯ γ μ s ℓ ¯ γ μ γ 5 ℓ and $$ \left(\overline{d}{\gamma}^{\mu }{\gamma}_5s\right)\left(\overline{\mathrm{\ell}}{\gamma}_{\mu}\mathrm{\ell}\right) $$ d ¯ γ μ γ 5 s ℓ ¯ γ μ ℓ currents. Finally, we point out that the loop effects from renormalization group evolution are important in this context, when relating the low-energy effective field theory to new physics models in the UV.

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Precise tests of low energy QCD from $\mbox {$\mathrm {K}_{\mathrm {e}4}$}$ decay properties

Cited by 123 publications

References 44 publications

Isospin breaking in the phases of the K e4 form factors

Isospin breaking in the phases of the K e4 form factors

A model-independent analysis of final-state interactions in B ¯ d / s 0 → J / ψ π π $$ {\overline{B}}_{d/s}^0\to J/\psi \pi \pi $$

New physics in s → d semileptonic transitions: rare hyperon vs. kaon decays

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