Amplitude analysis of the anomalous decay 
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We report our theoretical calculations on the branching fractions for the semileptonic B and B s decays based on the form factors in the covariant light-front quark model. That is, B(B s) → (P, V, S, A) ν , where P and V denote the pseudoscalar and vector mesons, respectively, while S denotes the scalar meson with mass above 1 GeV and A the axial-vector meson. The branching fractions for the semileptonic B → P and V modes have been measured very well in experiment and our theoretical values are in good agreement with them. The ones for B → S and A modes are our theoretical predictions. There is little experimental information on the semileptonic B s decays although much theoretical effort has been done. In addition, we predict the branching fractions of B → D * 0 (2400) ν and B s → D * − s0 (2317) ν as (2.31 ± 0.25) × 10 −3 and (3.07±0.34)×10 −3 , in order, assuming them as the conventional mesons with quark-antiquark configuration. The high luminosity e + e − collider SuperKEKB/Belle-II is running, with the data sample enhanced by a factor of 40 compared to Belle, which will provide huge opportunity for the test of the theoretical predictions and further help understand the inner structure of these scalar and axial-vector mesons, e.g., the glueball content of f 0 (1710) and the mixing angles for the axial-vector mesons. These decay channels can also be accessed by the LHCb experiment.

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“…Note that in the literature, e.g., Ref. [59], the mixing angle θ is often referred to the singlet-octet one, and α = θ + 54.7…”

Section: A L = Sin α a A Q + Cos α A A S mentioning

confidence: 99%

Semileptonic B and $$B_s$$ B s decays involving scalar and axial-vector mesons

et al. 2018

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“…cA2.09.48 36 We thank L. Lellouch for having drawn our attention to this paper. 37 It is worth noting that the original (unscaled) NA7 stay below the ETM data in the spectrum range where they are the most precise; this should be compared with Figure 6 in [112], especially its right panel, which exhibits the same trend. 38 Reference [112] does not give special information about systematics and performs its own fits using uncorrelated χ 2 's.…”

Section: The Pion Form Factor : the Lattice Qcd Datamentioning

confidence: 79%

“…It has been extended to include isospin breaking effects in [25] following the lines of [35]. This (modified) BKY breaking scheme, intended to cover isospin and SU(3) breaking effects within the same framework, has been proved fairly successful, allowing for a high quality global fit of (almost) all available data covering the validity range of the HLS model [25,26,27] : e + e − annihilations, τ decay spectra and radiative decays of light flavor mesons; in particular, the dipion spectra in the η/η ′ → π + π − γ decays are fairly well predicted [23,24], especially the detailed form of the drop-off in the ρ − ω interference region as recently measured at BESIII [36,37]. Nevertheless, as already stated in [25,26,27], the description of the threshold region in the dipion spectrum and of the φ mass region in the three pion annihilation channel deserves improvements; this issue is addressed by the present paper.…”

Section: Breaking the Hls Lagrangian I : The Bky Mechanismmentioning

confidence: 87%

“…Figure 8 shows the |F π (Q 2 )| 2 spectra derived from the cA2.09.48 and cA2.09.64 ensembles in [112]. They are displayed with their reported statistical errors 37 . The χ 2 distances 38 of cA2.09.48 and cA2.09.64 to the BHLS 2 form factor squared |F π (s)| 2 have been computed, assuming the systematics negligible compared to the statistical errors [112]; they are displayed inside Figure 8.…”

Section: The Pion Form Factor : the Lattice Qcd Datamentioning

confidence: 99%

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$${\hbox {BHLS}}_2$$, a new breaking of the HLS model and its phenomenology

2020

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Previous studies have shown that the Hidden Local Symmetry (HLS) Model, supplied with appropriate symmetry breaking mechanisms, provides an Effective Lagrangian (BHLS) able to encompass a large number of processes within a unified framework. This allowed to design a global fit procedure which provides a fair simultaneous description of the e + e − annihilation into 6 final states (π + π − , π 0 γ, ηγ, π + π − π 0 , K + K − , K L K S ), the dipion spectrum in the τ decay and some more light meson decay partial widths. In this paper, additional breaking schemes are defined which improve the BHLS working and extend its scope so as to absorb spacelike processes within a new framework (BHLS 2 ). The phenomenology previously explored with BHLS is fully revisited in the BHLS 2 context with special emphasis on the φ mass region using all available data samples. It is shown that BHLS 2 addresses perfectly the close spacelike region covered by NA7 and Fermilab data; it is also shown that the recent Lattice QCD (LQCD) information on the pion form factor are accurately predicted by the BHLS 2 fit functions derived from fits to only annihilation data. The contribution to the muon anomalous magnetic moment a th 1 The e + e − → η ′ γ channel has been considered in [25,26] and found to contributes to a had µ at the 10 −12 level only and can thus be safely discarded.As clear in Equations (8), BKY breaks the symmetry of the HLS Model in the very definition of its Lagrangian. This is quite legitimate and strongly validated by its remarkable description of a considerable amount of data [25,26,27]. Nevertheless, it is of interest to explore other possibilities to improve the description of the data in some specific mass regions and, then, reduce or cancel out the additional systematic uncertainties reported in [27].Let us focus on Equation (4) which defines the original HLS covariant derivative :

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“…[22] for η ( ) → 4π , Refs. [23][24][25] for η ( ) → π + π − γ , Ref. [26] for η → π 0 γ γ and η → ηγ γ , and Refs.…”

Section: Introductionmentioning

confidence: 99%

$$\eta ^{\prime }\rightarrow \eta \pi \pi $$ η ′ → η π π decays in unitarized resonance chiral theory

Gonzàlez-Solís

Passemar

2018

Eur. Phys. J. C

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We study the hadronic η → ηππ decays within the framework of U (3) L ⊗ U (3) R Chiral Perturbation Theory including resonance states and the complete one-loop corrections. The amplitude is projected in partial waves and unitarized by means of the N /D method resumming both the important Sand D-wave ππ and the subleading Swave πη final-state interactions. The participating scalar multiplet mass and coupling strengths are determined from fits to the Dalitz plot experimental data recently released by the A2 collaboration. As a byproduct of our analysis, the associated Dalitz-plot slope parameters are found to be a = − 0.072(7) stat (8) syst , b = − 0.052(1) stat (2) syst , d = − 0.051(8) stat (6) syst , which lie in the ballpark of the current experimental and theoretical determinations.

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Amplitude analysis of the anomalous decay η′→π+π−γ

Cited by 25 publications

References 125 publications

Semileptonic B and $$B_s$$ B s decays involving scalar and axial-vector mesons

Semileptonic B and $$B_s$$ B s decays involving scalar and axial-vector mesons

$${\hbox {BHLS}}_2$$, a new breaking of the HLS model and its phenomenology

$$\eta ^{\prime }\rightarrow \eta \pi \pi $$ η ′ → η π π decays in unitarized resonance chiral theory

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