2019
DOI: 10.1007/jhep02(2019)021
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BSM hadronic matrix elements for ε′/ε and K → ππ decays in the Dual QCD approach

Abstract: 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 kn… Show more

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Cited by 28 publications
(58 citation statements)
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“…This work has been supported in part by the Spanish Government and ERDF funds from the EU Table 10: Parameters n i and X i entering the prediction of the LECs (g 8 N i ) ∞ in Eq. (34). Table 10 compiles the values of n i and X i that parametrize the large-N C predictions for the weak LECs (g 8 N i ) ∞ in Eq.…”
Section: Acknowledgementsmentioning
confidence: 99%
“…This work has been supported in part by the Spanish Government and ERDF funds from the EU Table 10: Parameters n i and X i entering the prediction of the LECs (g 8 N i ) ∞ in Eq. (34). Table 10 compiles the values of n i and X i that parametrize the large-N C predictions for the weak LECs (g 8 N i ) ∞ in Eq.…”
Section: Acknowledgementsmentioning
confidence: 99%
“…This pattern is led by the one-loop chiral loop contributions, which include the final state rescattering. 3 In the third column of Table I we report the results obtained with the Dual QCD (DQCD) approach [68] (for a recent summary and references see Ref. [36]).…”
Section: B Matrix Elementsmentioning
confidence: 99%
“…• The parameter ε /ε measuring the ratio of direct to indirect CP violation in K L → ππ [51,[53][54][55][56].…”
Section: Fcnc K Decaysmentioning
confidence: 99%