BSM Kaon Mixing at the Physical Point

Boyle, Peter; Garrón, Nicolas; Kettle, Julia; Khamseh, Ava; Tsang, Justus Tobias

doi:10.1051/epjconf/201817513010

Cited by 47 publications

(25 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…the results of ETM'14. Similar tensions have been observed in the Kaon system [43] where it was conjectured that a difference in intermediate renormalization schemes might be responsible. We also consider the ratios B The leading terms in the m s -expansion differ from unity because we do not expand the logarithms L Λ+ms in m s /Λ.…”

Section: Bag Parameterssupporting

confidence: 72%

Bs mixing observables and |Vtd/Vts| from sum rules

King

Lenz

Rauh

2019

J. High Energ. Phys.

100

View full text Add to dashboard Cite

We consider the effects of a non-vanishing strange-quark mass in the determination of the full basis of dimension six matrix elements for B s mixing, in particular we get for the ratio of the V −A Bag parameter in the B s and B d system:−0.009 . Combining these results with the most recent lattice values for the ratio of decay constants f Bs /f B d we obtain the most pre-−0.0072 in agreement with recent lattice determinations. We find ∆M s = (18.5 +1.2 −1.5 )ps −1 and ∆M d = (0.547 +0.035 −0.046 )ps −1 to be consistent with experiments at below one sigma. Assuming the validity of the SM, our calculation can be used to directly determine the ratio of CKM elements |V td /V ts | = 0.2045 +0.0012 −0.0013 , which is compatible with the results from the CKM fitting groups, but again more precise.

show abstract

Section: Bag Parameterssupporting

confidence: 72%

Bs mixing observables and |Vtd/Vts| from sum rules

King

Lenz

Rauh

2019

J. High Energ. Phys.

100

View full text Add to dashboard Cite

show abstract

“…In Section 4 we perform the evolution of BSM operators from a very low factorization scale up to scales µ = O(1 GeV), the so-called meson evolution, in the chiral limit. While this is a crude approximation, a recent analysis of BSM hadronic K 0 −K 0 matrix elements in this limit [39] was able to explain at a semi-quantitative level the pattern of the values of these matrix elements obtained by the ETM, SWME and RBC-UKQCD lattice QCD collaborations [42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

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

Aebischer

Buras

Gérard

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

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.

show abstract

“…Also the existence of meson evolution, crucial in the DQCD approach, has been questioned over the last 30 years by some chiral and lattice experts. We have demonstrated in [50] that meson evolution is crucial in reproducing the results for four BSM K 0 −K 0 matrix elements from lattice QCD (ETM, SWME and RBC-UKQCD) collaborations [51][52][53]. The important virtue of this exercise is the absence of FSI so that the meson evolution can be better exposed than in K → ππ decays.…”

Section: More On ε /ε Anomalymentioning

confidence: 99%

The Dual QCD @ Work: 2018

Buras

2018

EPJ Web Conf.

View full text Add to dashboard Cite

The Dual QCD (DQCD) framework, based on the ideas of 't Hooft and Witten, and developed by Bill Bardeen, Jean-Marc Gérard and myself in the 1980s is not QCD, a theory of quarks and gluons, but a successful low energy approximation of it when applied to K → ππ decays and K 0 −K 0 mixing. After years of silence, starting with 2014, this framework has been further developed in order to improve the SM prediction for the ratio ε /ε, the ∆I = 1/2 rule andB K . Most importantly, this year it has been used for the calculation of all K → ππ hadronic matrix elements of BSM operators which opened the road for the general study of ε /ε in the context of the SM effective theory (SMEFT). This talk summarizes briefly the past successes of this framework and discusses recent developments which lead to a master formula for ε /ε valid in any extension of the SM. This formula should facilitate the search for new physics responsible for the ε /ε anomaly hinted by 2015 results from lattice QCD and DQCD.• The analysis of ε /ε by the RBC-UKQCD collaboration based on their lattice QCD calculation of K → ππ matrix elements [6,7], as well as the analyses performed in [8,9] that are based on the same matrix elements but also include isospin breaking effects, find ε /ε in the ballpark of (1 − 2) × 10 −4 . This is by one order of magnitude below the data, but with an error in the ballpark of 5 × 10 −4 . Consequently, based on these analyses, one can talk about an ε /ε anomaly of at most 3σ.

show abstract

BSM Kaon Mixing at the Physical Point

Cited by 47 publications

References 15 publications

Bs mixing observables and |Vtd/Vts| from sum rules

Bs mixing observables and |Vtd/Vts| from sum rules

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

The Dual QCD @ Work: 2018

Contact Info

Product

Resources

About