A new parameterization for the pion vector form factor

Hanhart, C.

doi:10.1016/j.physletb.2012.07.038

Cited by 90 publications

(110 citation statements)

References 55 publications

(67 reference statements)

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“…(16) two types of the pion vector form factor have been tested, namely the experimental parameterization used by the Belle Collaboration in the data analysis of the τ − → π − π 0 ν τ decays [29] and the Hanhart model presented in Ref. [36].…”

Section: Resultsmentioning

confidence: 99%

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Dalitz plot studies ofD0→KS0π+

et al. 2014

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The presently available high-statistics data of the D 0 → K 0 S π + π − processes measured by the Belle and BABAR Collaborations are analyzed within a quasi two-body factorization framework. Starting from the weak effective Hamiltonian, tree and annihilation amplitudes build up the D 0 → K 0 S π + π − decay amplitude. Two of the three final-state mesons are assumed to form a single scalar, vector or tensor state originating from a quark-antiquark pair so that the factorization hypothesis can be applied. The meson-meson final state interactions are described by Kπ and ππ scalar and vector form factors for the S and P waves and by relativistic Breit-Wigner formulae for the D waves. A combined χ 2 fit to a Belle Dalitz plot density distribution, to the total experimental branching fraction and to the τ − → K 0 S π − ντ decay data is carried out to fix the 33 free parameters. These are mainly related to the strengths of the scalar form factors and to unknown meson to meson transition form factors at a large momentum transfer squared equal to the D 0 mass squared. A good overall agreement to the Belle Dalitz plot density distribution is achieved. Another set of parameters fits equally well the BABAR Collaboration Dalitz plot model. The parameters of both fits are close, following from similar Dalitz density distribution data for both collaborations. The corresponding one-dimensional effective mass distributions display the contributions of the ten quasi two-body channels entering our D 0 → K 0 S π + π − decay amplitude. The branching fractions of the dominant channels compare well with those of the isobar Belle or BABAR models. The lower-limit values of the branching fractions of the annihilation amplitudes are significant. Built upon experimental data from other processes, the unitary Kπ and ππ scalar form factors, entering our decay amplitude and satisfying analyticity and chiral symmetry constraints, are furthermore constrained by the present Dalitz plot analysis. Our D 0 → K 0 S π + π − decay amplitude could be a useful input for determinations of D 0 -D 0 mixing parameters and of the CKM angle γ (or φ3).

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Section: Resultsmentioning

confidence: 99%

“…Alternatively we also use one of the unitary parametrizations derived by Hanhart in Ref. [36]. Since the K * − and ρ(770) 0 are dominating resonances, we use in Eqs.…”

Section: A Cabibbo Favored Amplitudesmentioning

confidence: 99%

Dalitz plot studies ofD0→KS0π+

et al. 2014

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“…We use the phenomenologically successful Gounaris-Sakurai (GS, [92]) parameterization of the form factor as described in [54], noting that alternative parameterizations are available (see [97] and references therein). Clearly, the most important feature in the form factor is the ρ-resonance.…”

Section: Finite-size Effects In the Time-momentum Representationmentioning

confidence: 99%

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Morte

Francis

Gülpers

et al. 2017

J. High Energ. Phys.

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We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, a hvp µ , in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of the vacuum polarization function. To this end we employ several complementary approaches, including Padé fits, time moments and the time-momentum representation. We correct our results for finitevolume effects by combining the Gounaris-Sakurai parameterization of the timelike pion form factor with the Lüscher formalism. On a subset of our ensembles we have derived an upper bound on the magnitude of quark-disconnected diagrams and found that they decrease the estimate for a hvp JHEP10 (2017)020 10 −10 , where the first error is statistical, and the second denotes the combined systematic uncertainty. Based on our findings we discuss the prospects for determining a hvp µ with sub-percent precision.

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“…[14] fitted to the measurements of e + e − → π + π − (γ) [15] (see also ref. [16]). The absolute value and the phase of this form factor are shown in figure 1.…”

Section: The Pion Decay Constant and The Timelike Pion Form Factorsmentioning

confidence: 99%

CP violation in multibody B decays from QCD factorization

Klein

Mannel

Virto

et al. 2017

J. High Energ. Phys.

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We test a data-driven approach based on QCD factorization for charmless three-body B-decays by confronting it to measurements of CP violation in B − → π − π + π − . While some of the needed non-perturbative objects can be directly extracted from data, some others can, so far, only be modelled. Although this approach is currently model dependent, we comment on the perspectives to reduce this model dependence. While our model naturally accommodates the gross features of the Dalitz distribution, it cannot quantitatively explain the details seen in the current experimental data on local CP asymmetries. We comment on possible refinements of our simple model and conclude by briefly discussing a possible extension of the model to large invariant masses, where large local CP asymmetries have been measured.

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A new parameterization for the pion vector form factor

Cited by 90 publications

References 55 publications

Dalitz plot studies ofD0→KS0π+

Dalitz plot studies ofD0→KS0π+

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

CP violation in multibody B decays from QCD factorization

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