Model-independent radiative corrections to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi><mml:mn>3</mml:mn><mml:mn /></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>decays

García, A.; Maya, M.

doi:10.1103/physrevd.23.2603

Cited by 18 publications

(23 citation statements)

References 12 publications

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“…Various articles on radiative corrections to K l3 decays exist in the literature, each with a different emphasis. Some of the earliest attempts can be traced back to the works by Ginsberg [3][4][5][6], Becherrawy [7], García and Maya [8], and more recently by Cirigliano et.al. [9,10], Bytev et.…”

Section: Introductionmentioning

confidence: 99%

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Radiative corrections to the Dalitz plot ofKl3±decays

Juárez-León¹,

Martínez²,

Neri³

et al. 2011

Phys. Rev. D

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We calculate the model-independent radiative corrections to the Dalitz plot of K ± l3 decays to the order of (α/π)(q/M 1 ), where q is the momentum transfer and M 1 is the mass of the kaon. The final results are presented, first, with the triple integration over the variables of the bremsstrahlung photon ready to be performed numerically and, second, in an analytical form. These two forms are useful to cross-check on one another and with other calculations. This paper is organized to make it accessible and reliable in the analysis of the Dalitz plot of precision experiments and is not compromised to fixing the form factors at predetermined values. It is assumed that the real photons are kinematically discriminated. Otherwise, ourresults have a general model-independent applicability.

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Section: Introductionmentioning

confidence: 99%

“…Our analysis builds on earlier works, particularly Ref. [8], but unlike it, here we will focus on the radiative corrections to the Dalitz plot of K ± l3 decays. Our approach to the calculation of these radiative corrections has been to advance results which can be established as much as possible once and for all.…”

Section: Introductionmentioning

confidence: 99%

Radiative corrections to the Dalitz plot ofKl3±decays

Juárez-León¹,

Martínez²,

Neri³

et al. 2011

Phys. Rev. D

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“…A first calculation in the case of B → P ν transitions was made by incorporating the resummation of real soft-photon emission and virtual corrections [42]. Other work [43,44] follows an approach similar to the ones adopted in analogous kaon semileptonic decays [47][48][49][50][51][52][53][54][55]. An important limitation in the attempts to compute those radiative corrections has to do with the poor knowledge of the photon-meson interactions at wavelength in the transition between the long-and short-distance regimes.…”

Section: Radiative Corrections To B − → V 0 Semileptonic Transitionsmentioning

confidence: 99%

“…The modeldependent part is encoded in T μλ , where gauge invariance requires k μ T μλ = 0, which can be verified by applying the generalized Ward identity. This model-dependent contribution can be included in a re-definition of the hadronic form factors as done for instance in [52][53][54][55]65] or evaluated explicitly as in Ref. [56] in a given model.…”

Section: Virtual-photon Correctionsmentioning

confidence: 99%

“…The LD corrections include contributions from three-and four-body regions, which partially cancel each other For completeness, we provide also the evaluations of the LD radiative corrections to the Dalitz plot distribution. These corrections can be useful for experimental studies aiming a precise extraction of the weak form factors [47][48][49][52][53][54][55] which focus in the three-body region of the phase space. For this purpose, we re-write Eq.…”

Section: Corrections To Bmentioning

confidence: 99%

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Radiative corrections of $$O(\alpha )$$ O ( α ) to $$B^{-} \rightarrow V^{0} \ell ^{-} \bar{\nu }_{\ell }$$ B - → V 0 ℓ - ν ¯ ℓ decays

Tostado¹,

Castro²

2016

Eur. Phys. J. C

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The O(α) electromagnetic radiative corrections to the B − → V 0 −ν (V is a vector meson and a charged lepton) decay rates are evaluated using the cutoff method to regularize virtual corrections and incorporating intermediate resonance states in the real-photon amplitude to extend the region of validity of the soft-photon approximation. The electromagnetic and weak form factors of hadrons are assumed to vary smoothly over the energies of virtual and real photons under consideration. The cutoff dependence of radiative corrections upon the scale that separates the long-and short-distance regimes is found to be mild and is considered as an uncertainty of the calculation. Owing to partial cancellations of electromagnetic corrections evaluated over the three-and four-body regions of phase space, the photoninclusive corrected rates are found to be dominated by the short-distance contribution. These corrections will be relevant for a precise determination of the b quark mixing angles by testing isospin symmetry when measurements of semileptonic rates of charged and neutral B mesons at the few percent level become available. For completeness, we also provide numerical values of radiative corrections in the three-body region of the Dalitz plot distributions of these decays.

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Radiative corrections to the muon polarization in the semileptonic decay of a neutral kaon

Vieyra,

Martínez,

Neri

et al. 2024

J. High Energ. Phys.

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A model-independent expression for the Dalitz plot of the semileptonic decays of a neutral kaon $$ {K}_{\mu 3}^0 $$ K μ 3 0 , including radiative corrections to order $$ \mathcal{O} $$ O [(α/π)(q/M1)], where q is the four-momentum transfer and M1 is the mass of the decaying kaon, is presented. In this paper the emitted muon is considered to be polarized so the analysis is centered on numerically evaluating the radiative corrections to the longitudinal, transverse, and normal polarization muon components. The model dependence of radiative corrections is kept in general form within this approximation, which is useful for model-independent experimental analyses. The final expressions, with the triple integration of the bremsstrahlung photon variables are ready to be evaluated numerically, they are free of the infrared divergence or ultraviolet cutoff. The radiative corrections to the components of the muon polarization are found to be very small compared to their respective uncorrected values.

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Model-independent radiative corrections toMl3±decays

Cited by 18 publications

References 12 publications

Radiative corrections to the Dalitz plot ofKl3±decays

Radiative corrections to the Dalitz plot ofKl3±decays

Radiative corrections of $$O(\alpha )$$ O ( α ) to $$B^{-} \rightarrow V^{0} \ell ^{-} \bar{\nu }_{\ell }$$ B - → V 0 ℓ - ν ¯ ℓ decays

Radiative corrections to the muon polarization in the semileptonic decay of a neutral kaon

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