Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2)

UKQCD Collaboration, RBC Collaboration; T. Blum; P. A. Boyle; N. H. Christ; N. Garron; E. Goode; T. Izubuchi; C. Jung; C. Kelly; C. Lehner; M. Lightman; Q. Liu; A. T. Lytle; R. D. Mawhinney; C. T. Sachrajda; A. Soni; C. Sturm

doi:10.1103/PhysRevD.86.074513

Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2)

UKQCD Collaboration, RBC Collaboration, T. Blum, P. A. Boyle, N. H. Christ, N. Garron, E. Goode, T. Izubuchi, C. Jung, C. Kelly, C. Lehner, M. Lightman, Q. Liu, A. T. Lytle, R. D. Mawhinney, C. T. Sachrajda, A. Soni, C. Sturm

School of Physics and Astronomy

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Abstract

We describe the computation of the amplitude A(2) for a kaon to decay into two pions with isospin I = 2. The results presented in [T. Blum et al., Phys. Rev. Lett. 108, 141601 (2012)] from an analysis of 63 gluon configurations are updated to 146 configurations giving ReA(2) = 1.381(46)(stat)(258)(syst)10(-8) GeV and ImA(2) = -6.54(46)(stat)(120)(syst)10(-13) GeV. ReA(2) is in good agreement with the experimental result, whereas the value of ImA(2) was hitherto unknown. We are also working toward a direct computation of the K -> (pi pi)(I=0) amplitude A(0) but, within the Standard Model, our result for ImA(2) can be combined with the experimental results for ReA(0), ReA(2) and epsilon'/epsilon to give ImA(0)/ReA(0) = -1.61(28) X 10(-4). Our result for ImA(2) implies that the electroweak penguin (EWP) contribution to epsilon'/epsilon is Re(epsilon'/epsilon)(EWP) = -(6.25 +/- 0.44(stat) +/- 1.19(syst)) X 10(-4).

Original language	English
Article number	074513
Pages (from-to)	-
Number of pages	26
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	86
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.86.074513
Publication status	Published - 18 Oct 2012

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UKQCD Collaboration, RBC Collaboration, Blum, T., Boyle, P. A., Christ, N. H., Garron, N., Goode, E., Izubuchi, T., Jung, C., Kelly, C., Lehner, C., Lightman, M., Liu, Q., Lytle, A. T., Mawhinney, R. D., Sachrajda, C. T., Soni, A., & Sturm, C. (2012). Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2). Physical Review D - Particles, Fields, Gravitation and Cosmology, 86(7), -. [074513]. https://doi.org/10.1103/PhysRevD.86.074513

UKQCD Collaboration, RBC Collaboration ; Blum, T. ; Boyle, P. A. ; Christ, N. H. ; Garron, N. ; Goode, E. ; Izubuchi, T. ; Jung, C. ; Kelly, C. ; Lehner, C. ; Lightman, M. ; Liu, Q. ; Lytle, A. T. ; Mawhinney, R. D. ; Sachrajda, C. T. ; Soni, A. ; Sturm, C. / Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2). In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2012 ; Vol. 86, No. 7. pp. -.

@article{63b5d1a68b8948c6b264e199088aaf77,

title = "Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2)",

abstract = "We describe the computation of the amplitude A(2) for a kaon to decay into two pions with isospin I = 2. The results presented in [T. Blum et al., Phys. Rev. Lett. 108, 141601 (2012)] from an analysis of 63 gluon configurations are updated to 146 configurations giving ReA(2) = 1.381(46)(stat)(258)(syst)10(-8) GeV and ImA(2) = -6.54(46)(stat)(120)(syst)10(-13) GeV. ReA(2) is in good agreement with the experimental result, whereas the value of ImA(2) was hitherto unknown. We are also working toward a direct computation of the K -> (pi pi)(I=0) amplitude A(0) but, within the Standard Model, our result for ImA(2) can be combined with the experimental results for ReA(0), ReA(2) and epsilon'/epsilon to give ImA(0)/ReA(0) = -1.61(28) X 10(-4). Our result for ImA(2) implies that the electroweak penguin (EWP) contribution to epsilon'/epsilon is Re(epsilon'/epsilon)(EWP) = -(6.25 +/- 0.44(stat) +/- 1.19(syst)) X 10(-4).",

author = "{UKQCD Collaboration, RBC Collaboration} and T. Blum and Boyle, {P. A.} and Christ, {N. H.} and N. Garron and E. Goode and T. Izubuchi and C. Jung and C. Kelly and C. Lehner and M. Lightman and Q. Liu and Lytle, {A. T.} and Mawhinney, {R. D.} and Sachrajda, {C. T.} and A. Soni and C. Sturm",

year = "2012",

month = oct,

day = "18",

doi = "10.1103/PhysRevD.86.074513",

language = "English",

volume = "86",

pages = "--",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

publisher = "American Physical Society",

number = "7",

}

UKQCD Collaboration, RBC Collaboration, Blum, T, Boyle, PA, Christ, NH, Garron, N, Goode, E, Izubuchi, T, Jung, C, Kelly, C, Lehner, C, Lightman, M, Liu, Q, Lytle, AT, Mawhinney, RD, Sachrajda, CT, Soni, A & Sturm, C 2012, 'Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2)', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 86, no. 7, 074513, pp. -. https://doi.org/10.1103/PhysRevD.86.074513

Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2). / UKQCD Collaboration, RBC Collaboration; Blum, T.; Boyle, P. A.; Christ, N. H.; Garron, N.; Goode, E.; Izubuchi, T.; Jung, C.; Kelly, C.; Lehner, C.; Lightman, M.; Liu, Q.; Lytle, A. T.; Mawhinney, R. D.; Sachrajda, C. T.; Soni, A.; Sturm, C.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 86, No. 7, 074513, 18.10.2012, p. -.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2)

AU - UKQCD Collaboration, RBC Collaboration

AU - Blum, T.

AU - Boyle, P. A.

AU - Christ, N. H.

AU - Garron, N.

AU - Goode, E.

AU - Izubuchi, T.

AU - Jung, C.

AU - Kelly, C.

AU - Lehner, C.

AU - Lightman, M.

AU - Liu, Q.

AU - Lytle, A. T.

AU - Mawhinney, R. D.

AU - Sachrajda, C. T.

AU - Soni, A.

AU - Sturm, C.

PY - 2012/10/18

Y1 - 2012/10/18

N2 - We describe the computation of the amplitude A(2) for a kaon to decay into two pions with isospin I = 2. The results presented in [T. Blum et al., Phys. Rev. Lett. 108, 141601 (2012)] from an analysis of 63 gluon configurations are updated to 146 configurations giving ReA(2) = 1.381(46)(stat)(258)(syst)10(-8) GeV and ImA(2) = -6.54(46)(stat)(120)(syst)10(-13) GeV. ReA(2) is in good agreement with the experimental result, whereas the value of ImA(2) was hitherto unknown. We are also working toward a direct computation of the K -> (pi pi)(I=0) amplitude A(0) but, within the Standard Model, our result for ImA(2) can be combined with the experimental results for ReA(0), ReA(2) and epsilon'/epsilon to give ImA(0)/ReA(0) = -1.61(28) X 10(-4). Our result for ImA(2) implies that the electroweak penguin (EWP) contribution to epsilon'/epsilon is Re(epsilon'/epsilon)(EWP) = -(6.25 +/- 0.44(stat) +/- 1.19(syst)) X 10(-4).

AB - We describe the computation of the amplitude A(2) for a kaon to decay into two pions with isospin I = 2. The results presented in [T. Blum et al., Phys. Rev. Lett. 108, 141601 (2012)] from an analysis of 63 gluon configurations are updated to 146 configurations giving ReA(2) = 1.381(46)(stat)(258)(syst)10(-8) GeV and ImA(2) = -6.54(46)(stat)(120)(syst)10(-13) GeV. ReA(2) is in good agreement with the experimental result, whereas the value of ImA(2) was hitherto unknown. We are also working toward a direct computation of the K -> (pi pi)(I=0) amplitude A(0) but, within the Standard Model, our result for ImA(2) can be combined with the experimental results for ReA(0), ReA(2) and epsilon'/epsilon to give ImA(0)/ReA(0) = -1.61(28) X 10(-4). Our result for ImA(2) implies that the electroweak penguin (EWP) contribution to epsilon'/epsilon is Re(epsilon'/epsilon)(EWP) = -(6.25 +/- 0.44(stat) +/- 1.19(syst)) X 10(-4).

U2 - 10.1103/PhysRevD.86.074513

DO - 10.1103/PhysRevD.86.074513

M3 - Article

VL - 86

SP - -

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 7

M1 - 074513

ER -

Lattice determination of the K -> (pi pi)(I-2) decay amplitude A(2)

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