Pole position of the 
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 from 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math>
-decay

Mikhasenko, M.; Pilloni, A.; Jackura, A.; Albaladejo, M.; Fernández-Ramírez, C.; Mathieu, V.; Nys, Jannes; Rodas, A.; Ketzer, B.; Szczepaniak, Adam P.

doi:10.1103/physrevd.98.096021

Cited by 40 publications

(41 citation statements)

References 65 publications

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“…• An approximate-three-body-unitarity approach as employed in Ref. [51], which neglects the effects of final-state interactions. In this case, the model for the self-energy function is…”

Section: Factorization Of the Rescatteringmentioning

confidence: 99%

Three-body scattering: ladders and resonances

Mikhasenko

Wunderlich

Jackura

et al. 2019

J. High Energ. Phys.

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We discuss unitarity constraints on the dynamics of a system of three interacting particles. We show how the short-range interaction that describes three-body resonances can be separated from the long-range exchange processes, in particular the one-pion-exchange process. It is demonstrated that unitarity demands a specific functional form of the amplitude with a clear interpretation: the bare three-particle resonances are dressed by the initial-and final-state interaction, in a way that is consistent with the considered long-range forces. We postulate that the resonance kernel admits a factorization in the energy variables of the initial-and the final-state particles. The factorization assumption leads to an algebraic form for the unitarity equations, which is reminiscent of the well-known two-body-unitarity condition and approaches it in the limit of the narrow-resonance approximation.

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“…• An approximate-three-body-unitarity approach as employed in Ref. [51], which neglects the effects of final-state interactions. In this case, the model for the self-energy function is…”

Section: Factorization Of the Rescatteringmentioning

confidence: 99%

Three-body scattering: ladders and resonances

Mikhasenko

Wunderlich

Jackura

et al. 2019

J. High Energ. Phys.

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“…[23] gave a somewhat lower a 1 -mass of m a 1 = 1.12 GeV. Moreover, the Joint Physics Analysis Center Collaboration [24] extracted from the ALEPH data on τ − → π − π + π − ν τ a complex a 1 -pole position of m a 1 − iΓ a 1 /2 = (1.21 − 0.29 i) GeV. The model employed in ref.…”

Section: Phenomenological Analysis and π 0 γ Intermediate Statementioning

confidence: 99%

“…The model employed in ref. [24] is based on approximate three-body unitary and the singularity structures related to ππ-subchannel resonances were carefully addressed.…”

Section: Phenomenological Analysis and π 0 γ Intermediate Statementioning

confidence: 99%

Spectral functions of nucleon form factors: Three-pion continua at low energies

Kaiser

Passemar

2019

Eur. Phys. J. A

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We study the imaginary parts of the isoscalar electromagnetic and isovector axial form factors of the nucleon close to the 3π-threshold in covariant baryon chiral perturbation theory. At the two-loop level, the contributions arising from leading and next-to-leading order chiral πN -vertices, as well as pion-induced excitations of virtual ∆(1232)-isobars, are calculated. It is found that the heavy baryon treatment overestimates substantially these 3π-continua. From a phenomenological analysis, that includes the narrow ω(783)-resonance or the broad a 1 -resonance, one can recognize small windows near threshold, where chiral 3π-dynamics prevails. However, in the case of the isoscalar electromagnetic form factors G s E,M (t), the radiative correction provided by the π 0 γ-intermediate state turns out to be of similar size.

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“…While the a 1 (1260) production provides the main contribution to the process, other mechanisms are at work when one wishes to get a very good agreement with experiment [30][31][32][33][34][35][36][37][38][39][40][41]. Special emphasis in the role of three body unitarity of the final three pion state is made in a recent paper [42]. The a 1 (1260) dominance is seen in the πρ decay channel with the ρ identified from the ππ mass distribution.…”

Section: Introductionmentioning

confidence: 99%

Tau decay into $$\nu _\tau $$ and $$a_1(1260)$$, $$b_1(1235)$$, and two $$K_1(1270)$$

2020

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We study the $$\tau \rightarrow \nu _\tau A$$ τ → ν τ A decay, with A an axial-vector meson. We produce the $$a_1(1260)$$ a 1 ( 1260 ) and $$b_1(1235)$$ b 1 ( 1235 ) resonances in the Cabibbo favored mode and two $$K_1(1270)$$ K 1 ( 1270 ) states in the Cabibbo suppressed mode. We take advantage of previous chiral unitary approach results where these resonances appear dynamically from the vector and pseudoscalar meson interaction in s-wave. Actually two different poles were obtained associated to the $$K_1(1270)$$ K 1 ( 1270 ) quantum numbers. We find that the unmeasured rates for $$b_1(1235)$$ b 1 ( 1235 ) production are similar to those of the $$a_1(1260)$$ a 1 ( 1260 ) and for the two $$K_1$$ K 1 states we suggest to separate the present information on the $$\bar{K} \pi \pi $$ K ¯ π π invariant masses into $$\bar{K}^* \pi $$ K ¯ ∗ π and $$\rho K$$ ρ K modes, the channels to which these two resonances couple most strongly, predicting that these modes peak at different energies and have different widths. These measurements should shed light on the existence of these two $$K_1$$ K 1 states. In addition, we have gone one step further making a comparison with experimental results of three meson decay channels, letting the vector mesons of our approach decay into pseudoscalars, and we find an overall good agreement with experiment.

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Pole position of the a1(1260) from τ -decay

Cited by 40 publications

References 65 publications

Three-body scattering: ladders and resonances

Three-body scattering: ladders and resonances

Spectral functions of nucleon form factors: Three-pion continua at low energies

Tau decay into $$\nu _\tau $$ and $$a_1(1260)$$, $$b_1(1235)$$, and two $$K_1(1270)$$

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