Neutrinoless double-beta decay of the kaon in a relativistic quark model

Abad, J.; Esteve, J. G.; Pacheco, A. F.

doi:10.1103/physrevd.30.1488

Cited by 35 publications

(37 citation statements)

References 5 publications

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“…This conclusion contrasts with the previous study of Ref. [12] claiming this contribution to be always negligible in the considered decays. We also pointed Here we present the details of the calculations leading to the expression (24) for the t-channel hadronic matrix element.…”

Section: Discussioncontrasting

confidence: 99%

“…As will be demonstrated, we disagree with the above mentioned conclusion of Ref. [12] and predict that the t-channel neutrino…”

Section: Introductioncontrasting

confidence: 95%

“…(12). In the lowest order this Lagrangian generates the contributions corresponding to the diagrams in Fig.…”

Section: Formalism Of Hadronic Structure Calculationsmentioning

confidence: 99%

“…In Ref. [12] the contribution of the t-channel diagram in Fig. 1(b) has been evaluated in the Bethe-Salpeter approach and argued to be negligible compared to the s-channel diagram in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Hadronic structure aspects ofK+→π−+l1++l2+decays

Ivanov

Kovalenko

2005

Phys. Rev. D

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As is known from previous studies the lepton number violating decays K + → π − + l We analyze these processes with an emphasis on their hadronic structure aspects applying relativistic constituent quark model. We conclude that the previously ignored contribution associated with the t-channel Majorana neutrino exchange is comparable with the s-channel one in a wide range of neutrino masses. We also estimated model independent absolute upper bounds on the neutrino contributions to these decays.

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Section: Discussioncontrasting

confidence: 99%

“…As will be demonstrated, we disagree with the above mentioned conclusion of Ref. [12] and predict that the t-channel neutrino…”

Section: Introductioncontrasting

confidence: 95%

“…(12). In the lowest order this Lagrangian generates the contributions corresponding to the diagrams in Fig.…”

Section: Formalism Of Hadronic Structure Calculationsmentioning

confidence: 99%

“…In Ref. [12] the contribution of the t-channel diagram in Fig. 1(b) has been evaluated in the Bethe-Salpeter approach and argued to be negligible compared to the s-channel diagram in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Hadronic structure aspects ofK+→π−+l1++l2+decays

Ivanov

Kovalenko

2005

Phys. Rev. D

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“…The very same diagram as for 0νββ can be applied to other processes like K + → π − µ + µ + , which has an experimental branching ratio limit of 1.5 · 10 −4 [26]. Taking the calculation of [27], one finds a limit of m µµ ≤ 1.1 · 10 5 GeV. Another process depending on m µµ is µ − µ + conversion in Titanium, discussed in [28].…”

Section: Lepton-number and -Flavor Violating Processes And Majorana Nmentioning

confidence: 99%

Neutrino oscillation experiments and limits on lepton-number and lepton-flavor violating processes

Rodejohann

2000

Phys. Rev. D

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Using a three neutrino framework we investigate bounds for the effective Majorana neutrino mass matrix. The mass measured in neutrinoless double beta decay is its 11 element. Lepton-number and -flavor violating processes sensitive to each element are considered and limits on branching ratios or cross sections are given. Those processes include µ − e + conversion, K + → π − µ + µ + or recently proposed highenergy scattering processes at HERA. Including all possible mass schemes, the three solar solutions and other allowed possibilities, there is a total of 80 mass matrices. The obtained indirect limits are up to 14 orders of magnitude more stringent than direct ones. It is investigated how neutrinoless double beta decay may judge between different mass and mixing schemes as well as solar solutions. Prospects of detecting processes depending on elements of the mass matrix are also discussed.

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Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution

Liao

Wang

2020

J. High Energ. Phys.

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This is a sequel to our recent work [1] in which we calculated the lepton number violating (LNV) K ± decays due to contact dimension-9 (dim-9) quark-lepton effective interactions that are induced at a high energy scale. In this work we investigate the long-distance contribution to the decays arising from the exchange of a neutrino. These decays can probe LNV interactions involving the second generation of fermions that are not reachable in nuclear neutrinoless double-β decays. Our study is completely formulated in the framework of effective field theories (EFTs), from the standard model effective field theory (SMEFT) through the low energy effective field theory (LEFT) to chiral perturbation theory (χPT). We work to the first nontrivial orders in each effective field theory, collect along the way the matching conditions and renormalization group effects, and express the decay branching ratios in terms of the Wilson coefficients associated with the dim-5 and dim-7 operators in SMEFT. Our result is general in that it does not depend on dynamical details of physics at a high scale that induce the effective interactions in SMEFT and in that it does not appeal to any hadronic models. We find that the long-distance contribution overwhelmingly dominates over the contact or short-distance one. Assuming the new physics scale to be around a TeV, the branching ratios are predicted to be below the current experimental upper bounds by several orders of magnitude. 1

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Neutrinoless double-beta decay of the kaon in a relativistic quark model

Abstract: The rate of the decay K f +p+p+n-is computed in a relativistic quark model for the mesons. This double-beta decay is assumed to be induced by a light Majorana neutrino mass m,. The rate for this mode is 7X 10-19 sec-', for m,-1 keV.

Cited by 35 publications

References 5 publications

Hadronic structure aspects ofK+→π−+l1++l2+decays

Hadronic structure aspects ofK+→π−+l1++l2+decays

Neutrino oscillation experiments and limits on lepton-number and lepton-flavor violating processes

Effective field theory approach to lepton number violating decays K±→ π∓l±l±: short-distance contribution

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