Prospects for a lattice computation of rare kaon decay amplitudes: K → π ℓ + ℓ − decays

Christ, N. H.; Feng, X.; Portelli, A.; Sachrajda, C. T.

doi:10.1103/PhysRevD.92.094512

Title: Prospects for a lattice computation of rare kaon decay amplitudes: $K \to π ℓ^{+} ℓ^{-}$ decays

Journal Article · Wed Nov 18 00:00:00 EST 2015 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.92.094512· OSTI ID:1226390

Christ, N. H.; Feng, X.; Portelli, A.; Sachrajda, C. T.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011941

OSTI ID:: 1226390

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 92 Journal Issue: 9; ISSN 1550-7998

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 30 works

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References (24)

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New measurement of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>K</mml:mi><mml:mo>±</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>±</mml:mo></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> decay Batley, J. R.; Kalmus, G.; Lazzeroni, C. Physics Letters B, Vol. 697, Issue 2 https://doi.org/10.1016/j.physletb.2011.01.042	journal	February 2011
The rare decay $K_{\mathrm{L}} \rightarrow\pi^{0} \mu^{ + } \mu^{-}$ within the SM Isidori, G.; Smith, C.; Unterdorfer, R. The European Physical Journal C, Vol. 36, Issue 1 https://doi.org/10.1140/epjc/s2004-01879-0	journal	July 2004
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Relativistic, model-independent, three-particle quantization condition Hansen, Maxwell T.; Sharpe, Stephen R. Physical Review D, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevD.90.116003	journal	December 2014
Precise measurement of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>K</mml:mi><mml:mo>±</mml:mo></mml:msup><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>±</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> decay Batley, J. R.; Culling, A. J.; Kalmus, G. Physics Letters B, Vol. 677, Issue 5 https://doi.org/10.1016/j.physletb.2009.05.040	journal	June 2009
$K_{L} - K_{S}$ Mass Difference from Lattice QCD Bai, Z.; Christ, N. H.; Izubuchi, T. Physical Review Letters, Vol. 113, Issue 11 https://doi.org/10.1103/PhysRevLett.113.112003	journal	September 2014
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Rare kaon decays on the lattice Isidori, Gino; Martinelli, Guido; Turchetti, Paolo Physics Letters B, Vol. 633, Issue 1 https://doi.org/10.1016/j.physletb.2005.11.044	journal	February 2006
K _L → π ⁰ e ⁺ e ⁻ and K _L → π ⁰ μ ⁺ μ ⁻ : a binary star on the stage of flavor physics Mescia, Federico; Smith, Christopher; Trine, Stephanie Journal of High Energy Physics, Vol. 2006, Issue 08 https://doi.org/10.1088/1126-6708/2006/08/088	journal	August 2006
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Observation of the rare decay <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>K</mml:mi><mml:mi>S</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>μ</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> Batley, J. R.; Kalmus, G. E.; Lazzeroni, C. Physics Letters B, Vol. 599, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.08.058	journal	October 2004
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The decays K →π l ⁺ l ⁻ beyond leading order in the chiral expansion D'Ambrosio, Giancarlo; Ecker, Gerhard; Isidori, Gino Journal of High Energy Physics, Vol. 1998, Issue 08 https://doi.org/10.1088/1126-6708/1998/08/004	journal	August 1998

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Title: Prospects for a lattice computation of rare kaon decay amplitudes: $K \to π ℓ^{+} ℓ^{-}$ decays