Lattice extraction of K ---> pi pi amplitudes to NLO in partially quenched and in full chiral perturbation theory - INSPIRE

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Lattice extraction of K ---> pi pi amplitudes to NLO in partially quenched and in full chiral perturbation theory

Jack Laiho
(
- Princeton U.
)
,
Amarjit Soni
(
- Brookhaven
)

Jun, 2003

40 pages

Published in:

Phys.Rev.D 71 (2005) 014021

e-Print:

hep-lat/0306035 [hep-lat]

DOI:

10.1103/PhysRevD.71.014021

Report number:

BNL-HET-03-13

View in:

ADS Abstract Service

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Abstract:

We show that it is possible to construct

\epsilon^\prime/\epsilon

to NLO using partially quenched chiral perturbation theory (PQChPT) from amplitudes that are computable on the lattice. We demonstrate that none of the needed amplitudes require three-momentum on the lattice for either the full theory or the partially quenched theory: non-degenerate quark masses suffice. Furthermore, we find that the electro-weak penguin (

\Delta I=3/2

and 1/2) contributions to

\epsilon^\prime/\epsilon

in PQChPT can be determined to NLO using only degenerate (

m_K=m_\pi

)

K\to\pi

computations without momentum insertion. Issues pertaining to power divergent contributions, originating from mixing with lower dimensional operators, are addressed. Direct calculations of

K\to\pi\pi

at unphysical kinematics are plagued with enhanced finite volume effects in the (partially) quenched theory, but in simulations when the sea quark mass is equal to the up and down quark mass the enhanced finite volume effects vanish to NLO in PQChPT. In embedding the QCD penguin left-right operator onto PQChPT an ambiguity arises, as first emphasized by Golterman and Pallante. With one version (the PQS) of the QCD penguin, the inputs needed from the lattice for constructing

K\to\pi\pi

at NLO in PQChPT coincide with those needed for the full theory. Explicit expressions for the finite logarithms emerging from our NLO analysis to the above amplitudes are also given.

12.38.Gc
12.39.Fe
fermion: lattice field theory
quantum chromodynamics
perturbation theory: chiral
approximation: quenching
K: hadronic decay
amplitude analysis: decay
CP: violation
quark: mass

References(49)

Figures(0)

Calculation of nonleptonic kaon decay amplitudes from < ---> pi matrix elements in quenched domain wall QCD

CP-PACS

Collaboration

•

J.I. Noaki
(
- Tsukuba U.
)

et al.

- Phys.Rev.D 68 (2003) 014501
•
e-Print:
- hep-lat/0108013
•
DOI:
- 10.1103/PhysRevD.68.014501

Kaon matrix elements and CP violation from quenched lattice QCD: 1. The three flavor case

RBC

Collaboration

•

T. Blum
(
- RIKEN BNL
)

et al.

- Phys.Rev.D 68 (2003) 114506
•
e-Print:
- hep-lat/0110075
•
DOI:
- 10.1103/PhysRevD.68.114506

A New measurement of direct CP violation in two pion decays of the neutral kaon

NA48

Collaboration

•

V. Fanti
(
- Cagliari U. and
- INFN, Cagliari
)

et al.

- Phys.Lett.B 465 (1999) 335-348
•
e-Print:
- hep-ex/9909022
•
DOI:
- 10.1016/S0370-2693(99)01030-8

A Precision measurement of direct CP violation in the decay of neutral kaons into two pions

NA48

Collaboration

•

J.R. Batley
(
- Cambridge U.
)

et al.

- Phys.Lett.B 544 (2002) 97-112
•
e-Print:
- hep-ex/0208009
•
DOI:
- 10.1016/S0370-2693(02)02476-0

Observation of Direct CP Violation in $K_{S,L} \to \pi \pi$ Decays

KTeV

Collaboration

•

A. Alavi-Harati
(
- U. Wisconsin, Madison (main)
)

et al.

- Phys.Rev.Lett. 83 (1999) 22-27
•
e-Print:
- hep-ex/9905060
•
DOI:
- 10.1103/PhysRevLett.83.22

Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System

KTeV

Collaboration

•

A. Alavi-Harati
(
- Wisconsin U., Madison
)

et al.

- Phys.Rev.D 67 (2003) 012005,
- Phys.Rev.D 70 (2004) 079904 (erratum)
•
e-Print:
- hep-ex/0208007
•
DOI:
- 10.1103/PhysRevD.70.079904

Review of particle physics. Particle Data Group

et al.

- Phys.Rev.D 66 (2002) 010001
•
DOI:
- 10.1103/PhysRevD.66.010001

Matrix elements relevant for Delta I = 1/2 rule and epsilon-prime / epsilon from lattice QCD with staggered fermions

D. Pekurovsky
(
- Ohio State U.
)
,
G. Kilcup
(
- Ohio State U.
)

- Phys.Rev.D 64 (2001) 074502
•
e-Print:
- hep-lat/9812019
•
DOI:
- 10.1103/PhysRevD.64.074502

Weak matrix elements for CP violation

Tanmoy Bhattacharya
(
- Los Alamos
)
,
N. Christ
(
- Columbia U.
)
,
George Tamminga Fleming
(
- Ohio State U.
)
,
G. Kilcup
(
- Ohio State U.
)
,
Rajan Gupta
(
- Los Alamos
)

et al.

- Nucl.Phys.B Proc.Suppl. 106 (2002) 311-313
•
e-Print:
- hep-lat/0111004
•
DOI:
- 10.1016/S0920-5632(01)01698-X

Application of Chiral Perturbation Theory to K ---> 2 pi Decays

- Phys.Rev.D 32 (1985) 2343-2347,
- Phys. Rev. D32 ( 1985) 2343-2347
•
DOI:
- 10.1103/PhysRevD.32.2343

Final state interactions from Euclidean correlation functions

L. Maiani
(
- Rome U.
)
,
M. Testa
(
- Salento U.
)

- Phys.Lett.B 245 (1990) 585-590
•
DOI:
- 10.1016/0370-2693(90)90695-3

Analysis of O(p**2) corrections to < pi pi | Q(7,8) | K >

Vincenzo Cirigliano
(
- Pisa U. and
- INFN, Pisa
)
,
Eugene Golowich
(
- Massachusetts U., Amherst
)

- Phys.Lett.B 475 (2000) 351-360
•
e-Print:
- hep-ph/9912513
•
DOI:
- 10.1016/S0370-2693(00)00098-8

Comment on `Analysis of O(p**2) corrections to < pi pi / Q(7,8) / K > '

- Phys.Rev.D 65 (2002) 054014
•
e-Print:
- hep-ph/0109265
•
DOI:
- 10.1103/PhysRevD.65.054014

Obtaining K ---> pi pi from off-shell K ---> pi amplitudes

- Nucl.Phys.B 521 (1998) 305-333
•
e-Print:
- hep-ph/9801326
•
DOI:
- 10.1016/S0550-3213(98)00202-8

K+ ---> pi+ pi0 decays on finite volumes and at next-to-leading order in the chiral expansion

C.J.David Lin
(
- Southampton U.
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
E. Pallante
(
- SISSA, Trieste
)
,
C.T. Sachrajda
(
- Southampton U. and
- CERN
)
,
G. Villadoro
(
- Rome U. and
- INFN, Rome
)

- Nucl.Phys.B 650 (2003) 301-355
•
e-Print:
- hep-lat/0208007
•
DOI:
- 10.1016/S0550-3213(02)01038-6

K ---> pi pi matrix elements beyond the leading order chiral expansion

SPQ(CD)R

Collaboration

•

Philippe Boucaud
(
- Orsay, LPT
)

et al.

- Nucl.Phys.B Proc.Suppl. 106 (2002) 329-331,
•
e-Print:
- hep-lat/0110206
•
DOI:
- 10.1016/S0920-5632(01)01704-2

On lattice extraction of K ---> pi pi amplitudes to O(p**4) in chiral perturbation theory

Jack Laiho
(
- Princeton U.
)
,
Amarjit Soni
(
- Brookhaven
)

- Phys.Rev.D 65 (2002) 114020
•
e-Print:
- hep-ph/0203106
•
DOI:
- 10.1103/PhysRevD.65.114020

Recent Developments in Weak Matrix Element Calculations

- Nucl.Phys.B Proc.Suppl. 4 (1988) 483,
- Seillac Sympos.1987:0483
•
DOI:
- 10.1016/0920-5632(88)90141-7

New lattice approaches to the delta I = 1/2 rule

C. Dawson
(
- Southampton U.
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
G.C. Rossi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Christopher T. Sachrajda
(
- Southampton U.
)
,
Stephen R. Sharpe
(
- Rome U. and
- INFN, Rome and
- Washington U., Seattle
)

et al.

- Nucl.Phys.B 514 (1998) 313-335
•
e-Print:
- hep-lat/9707009
•
DOI:
- 10.1016/S0550-3213(97)00756-6

Finite volume partially quenched two pion amplitudes in the I = 0 channel

C.J.David Lin
(
- Southampton U.
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
E. Pallante
(
- SISSA, Trieste and
- INFN, Trieste
)
,
C.T. Sachrajda
(
- Southampton U.
)
,
G. Villadoro
(
- Rome U. and
- INFN, Rome
)

- Phys.Lett.B 581 (2004) 207-217
•
e-Print:
- hep-lat/0308014
•
DOI:
- 10.1016/j.physletb.2003.12.019

Weak transition matrix elements from finite volume correlation functions

Laurent Lellouch
(
- Annecy, LAPTH
)
,
Martin Luscher
(
- CERN
)

- Commun.Math.Phys. 219 (2001) 31-44
•
e-Print:
- hep-lat/0003023
•
DOI:
- 10.1007/s002200100410

Finite volume effects in weak hadronic decays

C.J.David Lin
(
- Southampton U.
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
C.T. Sachrajda
(
- Southampton U.
)
,
M. Testa
(
- Rome U. and
- INFN, Rome
)

- Nucl.Phys.B Proc.Suppl. 109 (2002) 218-225,
•
e-Print:
- hep-lat/0111033
•
DOI:
- 10.1016/S0920-5632(02)01419-6

K ---> pi pi decay amplitudes from the lattice

Chang-hoan Kim
(
- Columbia U.
)
,
Norman H. Christ
(
- Columbia U.
)

- Nucl.Phys.B Proc.Suppl. 119 (2003) 365-367,
•
e-Print:
- hep-lat/0210003
•
DOI:
- 10.1016/S0920-5632(03)01553-6

Enhanced chiral logarithms in partially quenched QCD

Stephen R. Sharpe
(
- Washington U., Seattle
)

- Phys.Rev.D 56 (1997) 7052-7058,
- Phys.Rev.D 62 (2000) 099901 (erratum)
•
e-Print:
- hep-lat/9707018
•
DOI:
- 10.1103/PhysRevD.62.099901

Partially quenched QCD with nondegenerate dynamical quarks

- Nucl.Phys.B Proc.Suppl. 83 (2000) 968-970
•
e-Print:
- hep-lat/9909090
•
DOI:
- 10.1016/S0920-5632(00)91860-7

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