ϵ′/ϵ anomaly and neutron EDM in SU(2)L × SU(2)R × U(1)B−L model with charge symmetry

Haba, Naoyuki; Umeeda, Hiroyuki; Yamada, Toshifumi

doi:10.1007/jhep05(2018)052

Cited by 24 publications

(34 citation statements)

References 104 publications

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“…As we comment in Appendix D, these results differ from those of Ref. [39]. In particular, the coefficient of the pion VEV in Eq.…”

Section: The Long-distance Contributionscontrasting

confidence: 89%

“…Thus, only the c 3 contributions, proportional to (C 1ud − C 1du ) are non vanishing. By neglecting |C 1us |, doubly Cabibbo suppressed with respect to |C 1ud |, we confirm the results in [39]…”

Section: Appendix D: the Meson And Baryon Chiral Lagrangianssupporting

confidence: 85%

“…Ref. [39] analyzes a specific choice of LR discrete symmetry (the left-right charge conjugation C, see below) and we shall compare their findings with our results. In particular we point out an issue in the calculation of the relevant meson-baryon couplings in Ref.…”

Section: Introductionmentioning

confidence: 57%

“…Previous detailed studies on ε, ε in the LRSM can be found in [23][24][25], and of ε, ε , d n in [30,39]. In particular, the LRSM prediction for ε was thoroughly analyzed in [25] and gives a tight constraint on the RH CKM phases versus the LR scale.…”

Section: Discussionmentioning

confidence: 99%

“…Up to unknown LECs (that are numerically subleading according to a naive dimensional estimate [39]) the nEDM computed from baryon-meson chiral loops leads to [104,105] d n e 8π 2 F πḡ…”

Section: The Long-distance Contributionsmentioning

confidence: 99%

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Kaon CP violation and neutron EDM in the minimal left-right symmetric model

2020

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Within the minimal Left-Right (LR) symmetric model we revisit the predictions for the kaon CP violating observables ε and ε in correlation with the neutron electric dipole moment. We perform a complete study of the cross constraints on the model parameters, phases and the MW R scale, considering the two cases of extended parity or charge conjugation as LR discrete symmetries, together with the possible presence of a Peccei-Quinn symmetry. We discuss in particular two scenarios: whether the Standard Model saturates the experimental value of ε /ε or whether new physics is needed, still an open issue after the recent lattice results on the QCD penguin matrix elements. Within the first scenario, we find no constraints on the LR scale in the charge-conjugation case while in the parity case we show that MW R can be as low as 13 TeV. On the other side, the request that new physics contributes dominantly to ε implies strong correlations among the model parameters, with an upper bound of MW R < 8-100 TeV depending on tan β in the case of charge conjugation and a range of MW R 7-45 TeV in the parity setup. Both scenarios may be probed directly at future colliders and only indirectly at the LHC. * stefano.bertolini@sissa.it † Alessio.Maiezza@irb.hr ‡ fabrizio.nesti@aquila.infn.it Right (LR) symmetric theories, based on the gauge groupA particular role is played by the minimal version of the Left-Right symmetric models (LRSM) [9]. Besides being predictive, the model provides a natural rationale for the origin and smallness of the neutrino mass [10,11], a setup for the restoration of parity at high scale [12], and a novel source for neutrinoless double-beta decay [13,14]. The LRSM has aroused a renewed interest in the era of LHC, because of the possibility of a direct detection via the Keung-Senjanovic (KS) process [15], which violates lepton number in full analogy with the low energy neutrinoless double-beta decay.

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“…As we comment in Appendix D, these results differ from those of Ref. [39]. In particular, the coefficient of the pion VEV in Eq.…”

Section: The Long-distance Contributionscontrasting

confidence: 89%

Section: Appendix D: the Meson And Baryon Chiral Lagrangianssupporting

confidence: 85%

Section: Introductionmentioning

confidence: 57%

Section: Discussionmentioning

confidence: 99%

“…Up to unknown LECs (that are numerically subleading according to a naive dimensional estimate [39]) the nEDM computed from baryon-meson chiral loops leads to [104,105] d n e 8π 2 F πḡ…”

Section: The Long-distance Contributionsmentioning

confidence: 99%

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Kaon CP violation and neutron EDM in the minimal left-right symmetric model

2020

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BSM hadronic matrix elements for ε′/ε and K → ππ decays in the Dual QCD approach

Aebischer

Buras

Gérard

2019

J. High Energ. Phys.

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We calculate for the first time all four-quark hadronic matrix elements of local operators possibly contributing to K → ππ decays and in particular to the ratio ε /ε beyond the Standard Model (BSM). To this end we use the Dual QCD (DQCD) approach. In addition to 7 new mirror operators obtained from the SM ones by flipping the chirality, we count 13 BSM four-quark operators of a given chirality linearly independent of each other and of the aforesaid 14 operators for which hadronic matrix elements are already known. We present results in two bases for all these operators, one termed DQCD basis useful for the calculation of the hadronic matrix elements in the DQCD approach and the other called SD basis suited to the short distance renormalization group evolution above the 1 GeV scale. We demonstrate that the pattern of long distance evolution (meson evolution) matches the one of short distance evolution (quark-gluon evolution), a property which to our knowledge cannot be presently achieved in any other analytical framework. The highlights of our paper are chirally enhanced matrix elements of tensor-tensor and scalar-scalar BSM operators. They could thereby explain the emerging ε /ε anomaly which is strongly indicated within DQCD with some support from lattice QCD. On the other hand we do not expect the BSM operators to be relevant for the ∆I = 1/2 rule.

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Isospin-violating contributions to ∈′/∈

Cirigliano

Gisbert

Pich

et al. 2020

J. High Energ. Phys.

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The known isospin-breaking contributions to the K → ππ amplitudes are reanalyzed, taking into account our current understanding of the quark masses and the relevant non-perturbative inputs. We present a complete numerical reappraisal of the direct CP-violating ratio / , where these corrections play a quite significant role. We obtain the Standard Model prediction Re ( / ) = (14 ± 5) · 10 −4 , which is in very good agreement with the measured ratio. The uncertainty, which has been estimated conservatively, is dominated by our current ignorance about 1/N C -suppressed contributions to some relevant chiral-perturbation-theory low-energy constants.

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ϵ′/ϵ anomaly and neutron EDM in SU(2)L × SU(2)R × U(1)B−L model with charge symmetry

Cited by 24 publications

References 104 publications

Kaon CP violation and neutron EDM in the minimal left-right symmetric model

Kaon CP violation and neutron EDM in the minimal left-right symmetric model

BSM hadronic matrix elements for ε′/ε and K → ππ decays in the Dual QCD approach

Isospin-violating contributions to ∈′/∈

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