Matrix elements of light quarks

Martinelli, G.

doi:10.1016/s0920-5632(01)01648-6

Cited by 3 publications

(1 citation statement)

References 80 publications

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“…As an example, we comment on the computation of the kaon B parameter, B K (see, for example, refs. [31,32]). The following matrix element of the effective weak Hamiltonian is then relevant:…”

Section: Conclusion and Discussionmentioning

confidence: 99%

CP breaking in lattice chiral gauge theories

Fujikawa¹,

Ishibashi²,

Suzuki³

2002

J. High Energy Phys.

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The CP symmetry is not manifestly implemented for the local and doubler-free Ginsparg-Wilson operator in lattice chiral gauge theory. We precisely identify where the effects of this CP breaking appear. We show that they appear in: (I) Overall constant phase of the fermion generating functional. (II) Overall constant coefficient of the fermion generating functional. (III) Fermion propagator appearing in external fermion lines and the propagator connected to Yukawa vertices. The first effect appears from the transformation of the path integral measure and it is absorbed into a suitable definition of the constant phase factor for each topological sector; in this sense there appears no "CP anomaly". The second constant arises from the explicit breaking in the action and it is absorbed by the suitable weights with which topological sectors are summed. The last one in the propagator is inherent to this formulation and cannot be avoided by a mere modification of the projection operator, for example, in the framework of the Ginsparg-Wilson operator. This breaking emerges as an (almost) contact term in the propagator when the Higgs field, which is treated perturbatively, has no vacuum expectation value. In the presence of the vacuum expectation value, however, a completely new situation arises and the breaking becomes intrinsically non-local, though this breaking may still be removed in a suitable continuum limit. This non-local CP breaking is expected to persist for a non-perturbative treatment of the Higgs coupling.

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Section: Conclusion and Discussionmentioning

confidence: 99%

CP breaking in lattice chiral gauge theories

Fujikawa¹,

Ishibashi²,

Suzuki³

2002

J. High Energy Phys.

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Lattice extraction ofK→ππamplitudes toO(p4
Laiho
¹
,
Soni
²

2002
Phys. Rev. D
47
3
146
0
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We show that the lattice calculation of K → ππ and ǫ ′ /ǫ amplitudes for (8,1) and (27,1) operators to O(p 4 ) in chiral perturbation theory is feasible when one uses K → ππ computations at the two unphysical kinematics allowed by the Maiani-Testa theorem, along with the usual (computable) two-and three-point functions, namely K → 0, K → π (with momentum) and K-K. Explicit expressions for the finite logarithms emerging from our O(p 4 ) analysis to the above amplitudes are also given.

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KaonB-parameter from quenched domain-wall QCD

et al. 2006

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We report on a calculation of B K with domain-wall fermion action in quenched QCD. Simulations are made with a renormalization group improved gauge action at ␤ϭ2.6 and 2.9 corresponding to a Ϫ1 Ϸ2 and 3 GeV. Effects due to finite fifth dimensional size N 5 and finite spatial size N are examined in detail. Matching to the continuum operator is made perturbatively at one loop order. We obtain B K (ϭ2 GeV) ϭ0.5746(61)(191), where the first error is statistical and the second error represents an estimate of scaling violation and O(␣ 2) errors in the renormalization factor added in quadrature, as an estimate of the continuum value in the modified minimal subtraction (MS) scheme with naive dimensional regularization. This value is consistent, albeit somewhat small, with B K (ϭ2 GeV)ϭ0.628(42) obtained by the JLQCD Collaboration using the Kogut-Susskind quark action. Results for light quark masses are also reported.

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Matrix elements of light quarks

Abstract: Lattice results for matrix elements of light quark operators are reviewed. The discussion is focused on recent theoretical progress and new numerical calculations which appeared after the Lattice 2000 Conference.

Cited by 3 publications

References 80 publications

CP breaking in lattice chiral gauge theories

CP breaking in lattice chiral gauge theories

Lattice extraction ofK→ππamplitudes toO(p4
Laiho
¹
,
Soni
²

2002
Phys. Rev. D
47
3
146
0
View full text Add to dashboard Cite

KaonB-parameter from quenched domain-wall QCD

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Matrix elements of light quarks

Abstract: Lattice results for matrix elements of light quark operators are reviewed. The discussion is focused on recent theoretical progress and new numerical calculations which appeared after the Lattice 2000 Conference.

Cited by 3 publications

References 80 publications

CP breaking in lattice chiral gauge theories

CP breaking in lattice chiral gauge theories

Lattice extraction ofK→ππamplitudes toO(p4Laiho1, Soni2 2002Phys. Rev. D4731460View full textAdd to dashboardCite

KaonB-parameter from quenched domain-wall QCD

Contact Info

Product

Resources

About

Lattice extraction ofK→ππamplitudes toO(p4
Laiho
¹
,
Soni
²

2002
Phys. Rev. D
47
3
146
0
View full text Add to dashboard Cite