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The evaluation of K → ππ decay amplitudes from lattice quantum chromodynamics

The evaluation of K → ππ decay amplitudes from lattice quantum chromodynamics
The evaluation of K → ππ decay amplitudes from lattice quantum chromodynamics
We present results for the ΔI = 3/2 K → ππ decay amplitude computed using lattice quantum chromodynamics. The calculation is performed using 2 + 1 flavours of domain wall fermion and the Iwasaki gauge action modified by the dislocation suppressing determinant ratio, on a lattice volume of 323 × 64 × 32 at lattice spacing a-1 = 1.364 GeV. The resulting valence pion mass is mπ = 142.11 MeV, and the kaon mass is mK = 505.5 MeV. A total of 146 configurations are analysed, giving ReA2 = 1.381(46)stat (258)syst × 10-8 GeV and ImA2 = -6.54(46)stat (120)syst × 10-8 GeV. The experimental results for ReA0 and ReA2 and ε'/ε are combined with this lattice result for ImA2 to give ImA0 /ReA0 = -1.61(28) × 10-4.

We also present results from a second calculation where both the ΔI = 1/2 and ΔI = 3/2 K → ππ decay amplitudes are calculated. This calculation is performed using 2 + 1 flavours of domain wall fermions with the Iwasaki gauge action and a lattice size of 163 × 32 × 16. Since the evaluation of A0 is technically challenging, this first ever determination of A0 is performed at threshold with a heavy pion mass of mπ ~ 420 MeV. The results are Re(A0) = 3.80(82) × 10-7 GeV and Im(A0) = 2.5(2.2) × 1011 GeV.
University of Southampton
Goode, Elaine Jennifer
e30e87d9-3be7-4b05-960d-a579b7ac03e2
Goode, Elaine Jennifer
e30e87d9-3be7-4b05-960d-a579b7ac03e2
Sachrajda, Christopher
0ed6568b-f52f-4314-8677-4aeeb925d6f7

Goode, Elaine Jennifer (2012) The evaluation of K → ππ decay amplitudes from lattice quantum chromodynamics. University of Southampton, Faculty of Physical and Applied Sciences, Doctoral Thesis, 183pp.

Record type: Thesis (Doctoral)

Abstract

We present results for the ΔI = 3/2 K → ππ decay amplitude computed using lattice quantum chromodynamics. The calculation is performed using 2 + 1 flavours of domain wall fermion and the Iwasaki gauge action modified by the dislocation suppressing determinant ratio, on a lattice volume of 323 × 64 × 32 at lattice spacing a-1 = 1.364 GeV. The resulting valence pion mass is mπ = 142.11 MeV, and the kaon mass is mK = 505.5 MeV. A total of 146 configurations are analysed, giving ReA2 = 1.381(46)stat (258)syst × 10-8 GeV and ImA2 = -6.54(46)stat (120)syst × 10-8 GeV. The experimental results for ReA0 and ReA2 and ε'/ε are combined with this lattice result for ImA2 to give ImA0 /ReA0 = -1.61(28) × 10-4.

We also present results from a second calculation where both the ΔI = 1/2 and ΔI = 3/2 K → ππ decay amplitudes are calculated. This calculation is performed using 2 + 1 flavours of domain wall fermions with the Iwasaki gauge action and a lattice size of 163 × 32 × 16. Since the evaluation of A0 is technically challenging, this first ever determination of A0 is performed at threshold with a heavy pion mass of mπ ~ 420 MeV. The results are Re(A0) = 3.80(82) × 10-7 GeV and Im(A0) = 2.5(2.2) × 1011 GeV.

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Published date: July 2012
Organisations: University of Southampton, Theoretical Partical Physics Group

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Local EPrints ID: 346839
URI: http://eprints.soton.ac.uk/id/eprint/346839
PURE UUID: 481ece84-51e3-4c67-aa62-64e0b012e521

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Date deposited: 26 Feb 2013 15:36
Last modified: 01 Aug 2018 16:32

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