Order-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>radiative corrections for semileptonic decays of polarized baryons

Glück, F.; Tóth, K.

doi:10.1103/physrevd.46.2090

Cited by 56 publications

(73 citation statements)

References 98 publications

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“…All these results are compared with those of Ref. [3] and we find that the agreement is acceptable. Finally, in Sec.…”

Section: Introductionmentioning

confidence: 76%

“…At the same time, the choice of this lattice is made so as to be able to compare with the numbers of Ref. [3]. These detailed comparisons will be made specifically for the decays Λ → peν and Σ − → neν.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…It is then necessary that we adopt here the definitions introduced in Ref. [3] and to take the same values of the corresponding form factors. Accordingly, we introduce the two-dimensional function…”

Section: Numerical Resultsmentioning

confidence: 99%

“…We have two purposes in mind. One is to make an internal check of our results and the other one is to compare with numerical results available in the literature [3].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…(12) exhibits only the angular correlationŝ 1 ·p 2 . The other two angular correlationsŝ 1 ·k andŝ 1 ·l were eliminated in favor of the former one using the replacement [3] …”

Section: Fbr Bremsstrahlung and Complete Rcmentioning

confidence: 99%

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Radiative corrections to the semileptonic Dalitz plot with an angular correlation between polarized decaying and emitted hyperons: Effects of the four-body region

Flores‐Mendieta

García

Martínez³

et al. 2002

Phys. Rev. D

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We obtain a model-independent expression for the complete Dalitz plot of semileptonic decays of polarized hyperons, which includes both the threebody and the four-body regions. We calculate radiative corrections to order α, neglecting terms of order αq/πM 1 , where q is the four-momentum transfer and M 1 is the mass of the decaying hyperon. Our results exhibit explicitly the correlation between the emitted hyperon three-momentum and the spin of the decaying hyperon. This allows us to obtain the corresponding radiative corrections to the integrated emitted hyperon spin-asymmetry coefficient. Our formulas are valid for charged as well as for neutral decaying hyperons and are appropriate for model-independent experimental analysis whether the real photon is discriminated or not. PACS number(s): 14.20.Jn, 13.30.Ce, 13.40.Ks

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“…All these results are compared with those of Ref. [3] and we find that the agreement is acceptable. Finally, in Sec.…”

Section: Introductionmentioning

confidence: 76%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

“…We have two purposes in mind. One is to make an internal check of our results and the other one is to compare with numerical results available in the literature [3].…”

Section: Numerical Resultsmentioning

confidence: 99%

“…(12) exhibits only the angular correlationŝ 1 ·p 2 . The other two angular correlationsŝ 1 ·k andŝ 1 ·l were eliminated in favor of the former one using the replacement [3] …”

Section: Fbr Bremsstrahlung and Complete Rcmentioning

confidence: 99%

See 3 more Smart Citations

Radiative corrections to the semileptonic Dalitz plot with an angular correlation between polarized decaying and emitted hyperons: Effects of the four-body region

Flores‐Mendieta

García

Martínez³

et al. 2002

Phys. Rev. D

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Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature

Glück

2023

J. High Energ. Phys.

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We report a serious kinematics problem in the bremsstrahlung photon part of the order-α outer (model independent) radiative correction calculations for those neutron (and nuclear beta) decay observables (like electron-neutrino correlation parameter measurement) where the proton (recoil particle) is detected. The so-called neutrino-type radiative correction calculations, which fix the neutrino direction in the bremsstrahlung photon integrals, use 3-body decay kinematics to connect the unobserved neutrino direction with the observed electron and proton (recoil particle) momenta. But the presence of the bremsstrahlung photon changes the kinematics from 3-body to 4-body one, and the accurate information about the recoil particle momentum is lost due to the integration with respect to the photon momentum. Therefore the application of the abovementioned 3-body decay kinematics connection for the radiative correction calculations, rather prevalent in the literature, is not acceptable. We show that the correct, so-called recoil-type radiative correction calculations, which fix the proton (recoil particle) momentum instead of the neutrino direction and use rather involved analytical, semianalytical or Monte Carlo bremsstrahlung integration methods, result usually in much larger corrections than the incorrect neutrino-type analytical methods.

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Monte Carlo type radiative correction calculations for neutron, muon and hyperon semileptonic decays

Glück

Joó

1996

Computer Physics Communications

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Order-αradiative corrections for semileptonic decays of polarized baryons

Cited by 56 publications

References 98 publications

Radiative corrections to the semileptonic Dalitz plot with an angular correlation between polarized decaying and emitted hyperons: Effects of the four-body region

Radiative corrections to the semileptonic Dalitz plot with an angular correlation between polarized decaying and emitted hyperons: Effects of the four-body region

Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature

Monte Carlo type radiative correction calculations for neutron, muon and hyperon semileptonic decays

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