LONG DISTANCE EFFECTS, PENGUIN CONTRIBUTION AND CP VIOLATION IN $K^0 - \bar K^0 $

1992 ◽  
Vol 07 (34) ◽  
pp. 3155-3160 ◽  
Author(s):  
K. TERASAKI ◽  
S. ONEDA
Keyword(s):  
Cp Violation ◽  
Decay Rate ◽  
Ground State ◽  
Dominant Role ◽  
Mass Difference ◽  
Matrix Elements ◽  
Long Distance ◽  
Penguin Contribution ◽  
Fractional Contribution ◽  
Distance Effects

We estimate the fractional contribution of the Penguin term to the most important asymptotic ground state meson matrix elements of H w by fitting the calculated KS→π+π− decay rate and KL-KS mass difference to their observed values and show that the Penguin contribution does not play a dominant role for the |Δ I | = ½ rule. We then discuss long distance effects on the CP violation in the [Formula: see text] mixing by using the estimated fraction.

DOMINANCE OF LONG DISTANCE EFFECTS IN THE KL-KS MASS DIFFERENCE

1990 ◽  
Vol 05 (19) ◽  
pp. 1477-1483 ◽  
Author(s):  
K. TERASAKI ◽  
S. ONEDA
Keyword(s):  
Asymptotic Behavior ◽  
Vector Meson ◽  
Ground State ◽  
Mass Shell ◽  
Mass Difference ◽  
Matrix Elements ◽  
Long Distance ◽  
Distance Effects ◽  
Intermediate States ◽  
The Matrix

It is argued that the asymptotic behavior of the matrix elements of Hw involving on-mass-shell ground-state mesons with infinite momenta, which were instrumental in explaining the |ΔI|=1/2 rule in the K→ππ decays, actually implies [Formula: see text]. The long distance effects (contributions of PS and vector meson poles and ππ intermediate states) may reproduce the observed KL−Ks mass difference, consistent with the |ΔI|=1/2 rule. Its estimate is however sensitive to the η-η′-… mixing.

scholarly journals NONFACTORIZABLE CONTRIBUTIONS IN NONLEPTONIC WEAK INTERACTIONS OF K MESONS

2001 ◽  
Vol 16 (09) ◽  
pp. 1605-1630 ◽  
Author(s):  
K. TERASAKI
Keyword(s):  
Short Distance ◽  
Weak Interactions ◽  
Mass Difference ◽  
Long Distance ◽  
Field Algebra ◽  
K Meson ◽  
Distance Effects ◽  
Intermediate States ◽  
Meson Pole ◽  
Existing Data

K→ππ, KL-KS mass difference (Δ mK) and KL→γγ(*) are studied systematically by decomposing their amplitude into a sum of factorizable and nonfactorizable ones. The former is calculated by using the naive factorization while the latter is assumed to be controlled by hadron dynamics. Nonfactorizable amplitudes for the K→ππ decays which are estimated by using a hard pion technique dominates the |ΔI| = ½ amplitude. It is seen that the naively factorized short distance term dominates ΔmK as usual since contributions of pseudoscalar-meson poles and ππ intermediate states as the nonfactorizable long distance effects interfere destructively with each other. The K*-meson pole survives in the KL→γγ decay and plays an important role in the present perspective in contrast with the existing theories which are restricted by the theory of field algebra. The form factor for the Dalitz decays of KL and their rates are compared with the existing data.

scholarly journals Hunting for $$B^+\rightarrow K^+ \tau ^+\tau ^-$$ imprints on the $$B^+ \rightarrow K^+ \mu ^+\mu ^-$$ dimuon spectrum

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
C. Cornella ◽  
G. Isidori ◽  
M. König ◽  
S. Liechti ◽  
P. Owen ◽  
...  
Keyword(s):  
Decay Rate ◽  
Branching Fraction ◽  
Scattering Process ◽  
Long Distance ◽  
Perturbative Calculations ◽  
Lhcb Experiment ◽  
Precise Data ◽  
Distance Effects ◽  
Intermediate States ◽  
O 10

AbstractWe investigate the possibility of indirectly constraining the $$B^{+}\rightarrow K^{+}\tau ^+\tau ^-$$ B + → K + τ + τ - decay rate using precise data on the $$B^{+}\rightarrow K^{+}\mu ^+\mu ^-$$ B + → K + μ + μ - dimuon spectrum. To this end, we estimate the distortion of the spectrum induced by the $$B^{+}\rightarrow K^{+}\tau ^+\tau ^-\rightarrow K^{+} \mu ^+\mu ^-$$ B + → K + τ + τ - → K + μ + μ - re-scattering process, and propose a method to simultaneously constrain this (non-standard) contribution and the long-distance effects associated to hadronic intermediate states. The latter are constrained using the analytic properties of the amplitude combined with data and perturbative calculations. Finally, we estimate the sensitivity expected at the LHCb experiment with present and future datasets. We find that constraints on the branching fraction of $$O(10^{-3})$$ O ( 10 - 3 ) , competitive with current direct bounds, can be achieved with the current dataset, while bounds of $$O(10^{-4})$$ O ( 10 - 4 ) could be obtained with the LHCb upgrade-II luminosity.

An estimate of the long-distance effects in the KL-KS mass difference

1984 ◽  
Vol 148 (1-3) ◽  
pp. 205-210 ◽  
Author(s):  
I.I. Bigi ◽  
A.I. Sanda
Keyword(s):  
Mass Difference ◽  
Long Distance ◽  
Distance Effects

scholarly journals Long distance effects and CP violation inB ±→ρ ± γ

1996 ◽  
Vol 71 (1) ◽  
pp. 95-100 ◽  
Author(s):  
G. Eilam ◽  
A. Ioannissian ◽  
R. R. Mendel
Keyword(s):  
Cp Violation ◽  
Long Distance ◽  
Distance Effects

Including long-distance effects in theKL−KSmass splitting

1990 ◽  
Vol 42 (1) ◽  
pp. 118-125 ◽  
Author(s):  
B. Machet ◽  
N. F. Nasrallah ◽  
K. Schilcher
Keyword(s):  
Long Distance ◽  
Distance Effects

scholarly journals Another SMEFT story: Z′ facing new results on ε′/ε, ∆MK and K → $$ \pi \nu \overline{\nu} $$

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Jason Aebischer ◽  
Andrzej J. Buras ◽  
Jacky Kumar
Keyword(s):  
Renormalization Group ◽  
Mass Difference ◽  
Branching Ratios ◽  
New Physics ◽  
Matrix Elements ◽  
Isospin Breaking ◽  
Left Handed ◽  
The Standard Model ◽  
First Time ◽  
Group Effects

Abstract Recently the RBC-UKQCD lattice QCD collaboration presented new results for the hadronic matrix elements relevant for the ratio ε′/ε in the Standard Model (SM) albeit with significant uncertainties. With the present knowledge of the Wilson coefficients and isospin breaking effects there is still a sizable room left for new physics (NP) contributions to ε′/ε which could both enhance or suppress this ratio to agree with the data. The new SM value for the K0 − $$ {\overline{K}}^0 $$ K ¯ 0 mass difference ∆MK from RBC-UKQCD is on the other hand by 2σ above the data hinting for NP required to suppress ∆MK. Simultaneously the most recent results for K+ → $$ {\pi}^{+}\nu \overline{\nu} $$ π + ν ν ¯ from NA62 and for KL → $$ {\pi}^0\nu \overline{\nu} $$ π 0 ν ν ¯ from KOTO still allow for significant NP contributions. We point out that the suppression of ∆MK by NP requires the presence of new CP-violating phases with interesting implications for K → $$ \pi \nu \overline{\nu} $$ πν ν ¯ , KS → μ+μ− and KL → π0ℓ+ℓ− decays. Considering a Z′-scenario within the SMEFT we analyze the dependence of all these observables on the size of NP still allowed by the data on ε′/ε. The hinted ∆MK anomaly together with the εK constraint implies in the presence of only left-handed (LH) or right-handed (RH) flavour-violating Z′ couplings strict correlation between K+ → $$ {\pi}^{+}\nu \overline{\nu} $$ π + ν ν ¯ and KL → $$ {\pi}^0\nu \overline{\nu} $$ π 0 ν ν ¯ branching ratios so that they are either simultaneously enhanced or suppressed relative to SM predictions. An anticorrelation can only be obtained in the presence of both LH and RH couplings. Interestingly, the NP QCD penguin scenario for ε′/ε is excluded by SMEFT renormalization group effects in εK so that NP effects in ε′/ε are governed by electroweak penguins. We also investigate for the first time whether the presence of a heavy Z′ with flavour violating couplings could generate through top Yukawa renormalization group effects FCNCs mediated by the SM Z-boson. The outcome turns out to be very interesting.

scholarly journals THE NORMALIZATION EFFECT OF NEUTRAL B0MESON ASYMMETRY

2006 ◽  
Vol 21 (12) ◽  
pp. 985-989
Author(s):  
J. C. YOON
Keyword(s):  
Cp Violation ◽  
Decay Rate ◽  
Experimental Analysis ◽  
B Physics ◽  
Neutral Meson ◽  
Normalization Effect

In the study of CP violation asymmetry in CPLEAR, the decay rate of neutral meson is normalized and its experimental analysis has been well established, while normalization effect has been considered in B physics. After investigation on the normalization effect in BABAR, we conclude that it can be justified to neglect this effect due to the suppressed decays that are contributed from both B0and [Formula: see text].

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