Isospin-violating contributions to ∈′/∈

Cirigliano, Vincenzo; Gisbert, Hector; Pich, Antonio; Rodríguez-Sánchez, Antonio

doi:10.1007/jhep02(2020)032

Cited by 50 publications

(103 citation statements)

References 132 publications

(142 reference statements)

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“…(2) which incorporates these effects, At the present level of accuracy, our use of the experimental rates for the real amplitudes, together with small differences from the definition of the isosymmetric limit in Ref. [73], does not affect the applicability of Eq. (112) to our calculation.…”

Section: Results For Reðε 0 =εþmentioning

confidence: 97%

“…The effects on ε 0 of electromagnetism and m d − m u have been the subject of active research for some time [71][72][73]. The most recent results are those of Cirigliano et al [73].…”

Section: Results For Reðε 0 =εþmentioning

confidence: 99%

“…The effects of electromagnetism and the quark mass difference m d − m u have been studied in considerable detail using chiral perturbation theory and large N c arguments, most recently in Ref. [73]. We take the size of their correction as an important systematic error for our present result and are exploring possible methods to also use lattice techniques to determine these effects [78,79].…”

Section: Discussionmentioning

confidence: 99%

“…The right two columns of that table show the matrix elements of the ten conventional operators in the MS scheme obtained from the left two columns by an application of Eqs. (73) and (74). For the convenience of the reader in utilizing these results we also provide the covariance matrices for the SMOMð= q; = qÞ scheme matrix elements, which we will use as our central values in Sec.…”

Section: Quantitymentioning

confidence: 99%

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Direct CP violation and the ΔI=1/2 rule in K→<

et al. 2020

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We present a lattice QCD calculation of the ΔI ¼ 1=2, K → ππ decay amplitude A 0 and ε 0 , the measure of direct CP violation in K → ππ decay, improving our 2015 calculation [1] of these quantities. Both calculations were performed with physical kinematics on a 32 3 × 64 lattice with an inverse lattice spacing of a −1 ¼ 1.3784ð68Þ GeV. However, the current calculation includes nearly 4 times the statistics and numerous technical improvements allowing us to more reliably isolate the ππ ground state and more accurately relate the lattice operators to those defined in the standard model. We find ReðA 0 Þ ¼ 2.99ð0.32Þð0.59Þ × 10 −7 GeV and ImðA 0 Þ ¼ −6.98ð0.62Þð1.44Þ × 10 −11 GeV, where the errors are statistical and systematic, respectively. The former agrees well with the experimental result ReðA 0 Þ ¼ 3.3201ð18Þ × 10 −7 GeV. These results for A 0 can be combined with our earlier lattice calculation of A 2 [2] to obtain Reðε 0 =εÞ ¼ 21.7ð2.6Þð6.2Þð5.0Þ × 10 −4 , where the third error represents omitted isospin breaking effects, and ReðA 0 Þ=ReðA 2 Þ ¼ 19.9ð2.3Þð4.4Þ. The first agrees well with the experimental result of Reðε 0 =εÞ ¼ 16.6ð2.3Þ × 10 −4. A comparison of the second with the observed ratio ReðA 0 Þ=ReðA 2 Þ ¼ 22.45ð6Þ, demonstrates the standard model origin of this "ΔI ¼ 1=2 rule" enhancement.

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Section: Results For Reðε 0 =εþmentioning

confidence: 97%

“…The effects on ε 0 of electromagnetism and m d − m u have been the subject of active research for some time [71][72][73]. The most recent results are those of Cirigliano et al [73].…”

Section: Results For Reðε 0 =εþmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Quantitymentioning

confidence: 99%

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Direct CP violation and the ΔI=1/2 rule in K→<

et al. 2020

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“…The role of isospin breaking contributions in the lattice calculations has been further scrutinized in[80] 5. A very recent update based on a detailed reassessment of the isospin breaking effects leads to ε /ε = 14 ± 5 × 10 −4[81].…”

mentioning

confidence: 99%

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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SU(3) analysis of four-quark operators: K → ππ and vacuum matrix elements

Pich

Rodríguez-Sánchez

2021

J. High Energ. Phys.

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Hadronic matrix elements of local four-quark operators play a central role in non-leptonic kaon decays, while vacuum matrix elements involving the same kind of operators appear in inclusive dispersion relations, such as those relevant in τ-decay analyses. Using an SU(3)L ⊗ SU(3)R decomposition of the operators, we derive generic relations between these matrix elements, extending well-known results that link observables in the two different sectors. Two relevant phenomenological applications are presented. First, we determine the electroweak-penguin contribution to the kaon CP-violating ratio ε′/ε, using the measured hadronic spectral functions in τ decay. Second, we fit our SU(3) dynamical parameters to the most recent lattice data on K → ππ matrix elements. The comparison of this numerical fit with results from previous analytical approaches provides an interesting anatomy of the ∆I = $$ \frac{1}{2} $$ 1 2 enhancement, confirming old suggestions about its underlying dynamical origin.

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Isospin-violating contributions to ∈′/∈

Cited by 50 publications

References 132 publications

Direct CP violation and the ΔI=1/2 rule in K→<

Direct CP violation and the ΔI=1/2 rule in K→<

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

SU(3) analysis of four-quark operators: K → ππ and vacuum matrix elements

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