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.

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 Extremal effective field theories

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Simon Caron-Huot ◽  
Vincent Van Duong
Keyword(s):  
Scalar Field ◽  
Scattering Amplitudes ◽  
Effective Field Theories ◽  
Convex Hull ◽  
Short Distance ◽  
Large Fraction ◽  
Effective Field ◽  
Field Theories ◽  
Long Distance ◽  
Distance Effects

Abstract Effective field theories (EFT) parameterize the long-distance effects of short-distance dynamics whose details may or may not be known. Previous work showed that EFT coefficients must obey certain positivity constraints if causality and unitarity are satisfied at all scales. We explore those constraints from the perspective of 2 → 2 scattering amplitudes of a light real scalar field, using semi-definite programming to carve out the space of allowed EFT coefficients for a given mass threshold M. We point out that all EFT parameters are bounded both below and above, effectively showing that dimensional analysis scaling is a consequence of causality. This includes the coefficients of s2 + t2 + u2 and stu type interactions. We present simple 2 → 2 extremal amplitudes which realize, or “rule in”, kinks in coefficient space and whose convex hull span a large fraction of the allowed space.

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.

scholarly journals STRANGE SEA ASYMMETRY IN NUCLEONS

2003 ◽  
Vol 18 (08) ◽  
pp. 1403-1407
Author(s):  
XUE-QIAN LI ◽  
XIAO-BING ZHANG ◽  
BO-QIANG MA
Keyword(s):  
Weak Interaction ◽  
Strong Interaction ◽  
Short Distance ◽  
Strange Quark ◽  
Medium Effects ◽  
Long Distance ◽  
Distance Effects

We evaluate the medium effects in nucleon which can induce an asymmetry of the strange sea. The short-distance effects determined by the weak interaction can give rise to [Formula: see text] where [Formula: see text] is the medium-induced mass of strange quark by a few KeV at most, but the long-distance effects by strong interaction could be sizable.

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

STRIPES IN DOPED ANTIFERROMAGNETS: BOND-CENTERED VERSUS SITE-CENTERED

2000 ◽  
Vol 14 (29n31) ◽  
pp. 3783-3790 ◽  
Author(s):  
MARC G. ZACHER ◽  
ROBERT EDER ◽  
ENRICO ARRIGONI ◽  
WERNER HANKE
Keyword(s):  
Perturbation Theory ◽  
Green’S Function ◽  
Green's Function ◽  
Single Particle ◽  
Short Distance ◽  
Long Distance ◽  
Distance Effects ◽  
Cluster A

The single-particle Green's function for a striped t–J model is calculated using cluster a perturbation theory, where short-distance effects are accounted for by exact cluster diagonalization and long-distance effects by perturbation (in the hopping). Both site-centered and bond-centered stripe scenarios have been studied. The data for site-centered stripes quantitatively reproduce salient (ARPES-) features.

scholarly journals K → μ+μ− as a clean probe of short-distance physics

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Avital Dery ◽  
Mitrajyoti Ghosh ◽  
Yuval Grossman ◽  
Stefan Schacht
Keyword(s):  
Matrix Element ◽  
Standard Model ◽  
Short Distance ◽  
Time Dependent ◽  
Final States ◽  
Interference Effects ◽  
Fundamental Theory ◽  
Long Distance ◽  
Ckm Matrix ◽  
The Standard Model

Abstract The K → μ+μ− decay is often considered to be uninformative of fundamental theory parameters since the decay is polluted by long-distance hadronic effects. We demonstrate that, using very mild assumptions and utilizing time-dependent interference effects, ℬ(KS → μ+μ−)ℓ=0 can be experimentally determined without the need to separate the ℓ = 0 and ℓ = 1 final states. This quantity is very clean theoretically and can be used to test the Standard Model. In particular, it can be used to extract the CKM matrix element combination $$ \mid {V}_{ts}{V}_{td}\sin \left(\beta +{\beta}_s\right)\mid \approx \mid {A}^2{\lambda}^5\overline{\eta}\mid $$ ∣ V ts V td sin β + β s ∣ ≈ ∣ A 2 λ 5 η ¯ ∣ with hadronic uncertainties below 1%.

scholarly journals Prospects for disentangling long- and short-distance effects in the decays B → K∗μ+μ−

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Marcin Chrzaszcz ◽  
Andrea Mauri ◽  
Nicola Serra ◽  
Rafael Silva Coutinho ◽  
Danny van Dyk
Keyword(s):  
Short Distance ◽  
Distance Effects
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