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Title: The evaluation of K → ππ decay amplitudes from lattice quantum chromodynamics
Author: Goode, Elaine
ISNI:       0000 0004 2731 2514
Awarding Body: University of Southampton
Current Institution: University of Southampton
Date of Award: 2012
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We present results for the ∆I = 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 32^3 × 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 ǫ′/ǫ 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 ∆I = 1/2 and ∆I = 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 16^3 × 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) × 10^−11 GeV.
Supervisor: Sachrajda, Christopher Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QC Physics