Measuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decays

We discuss the recent Cabibbo's proposal to measure the pion-pion scattering lengths combination a0-a2 from the cusp effect in the pi0-pi0 energy spectrum at threshold for K+ to (pi0 pi0 pi+) and KL to (pi0 pi0 pi0). We estimate the theoretical uncertainty of the a0-a2 determination at NLO in o...

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Detalles Bibliográficos
Autores principales: Scimemi, Ignazio, Gamiz, Elvira, Prades, Joaquim
Lenguaje:eng
Publicado: 2006
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysbps.2007.08.098
http://cds.cern.ch/record/993437
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author Scimemi, Ignazio
Gamiz, Elvira
Prades, Joaquim
author_facet Scimemi, Ignazio
Gamiz, Elvira
Prades, Joaquim
author_sort Scimemi, Ignazio
collection CERN
description We discuss the recent Cabibbo's proposal to measure the pion-pion scattering lengths combination a0-a2 from the cusp effect in the pi0-pi0 energy spectrum at threshold for K+ to (pi0 pi0 pi+) and KL to (pi0 pi0 pi0). We estimate the theoretical uncertainty of the a0-a2 determination at NLO in our approach and obtain that it is not smaller than 5% for K+ to (pi0 pi0 pi+). One gets similar theoretical uncertainties if the neutral KL to (pi0 pi0 pi0) decay data below threshold are used instead. For this decay, there are very large theoretical uncertainties above threshold due to cancellations and data above threshold cannot be used to get the scattering lengths.
id cern-993437
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
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spelling cern-9934372023-03-14T20:22:58Zdoi:10.1016/j.nuclphysbps.2007.08.098http://cds.cern.ch/record/993437engScimemi, IgnazioGamiz, ElviraPrades, JoaquimMeasuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decaysParticle Physics - PhenomenologyWe discuss the recent Cabibbo's proposal to measure the pion-pion scattering lengths combination a0-a2 from the cusp effect in the pi0-pi0 energy spectrum at threshold for K+ to (pi0 pi0 pi+) and KL to (pi0 pi0 pi0). We estimate the theoretical uncertainty of the a0-a2 determination at NLO in our approach and obtain that it is not smaller than 5% for K+ to (pi0 pi0 pi+). One gets similar theoretical uncertainties if the neutral KL to (pi0 pi0 pi0) decay data below threshold are used instead. For this decay, there are very large theoretical uncertainties above threshold due to cancellations and data above threshold cannot be used to get the scattering lengths.We discuss the recent Cabibbo's proposal to measure the pion-pion scattering lengths combination a0-a2 from the cusp effect in the pi0-pi0 energy spectrum at threshold for K+ to (pi0 pi0 pi+) and KL to (pi0 pi0 pi0). We estimate the theoretical uncertainty of the a0-a2 determination at NLO in our approach and obtain that it is not smaller than 5% for K+ to (pi0 pi0 pi+). One gets similar theoretical uncertainties if the neutral KL to (pi0 pi0 pi0) decay data below threshold are used instead. For this decay, there are very large theoretical uncertainties above threshold due to cancellations and data above threshold cannot be used to get the scattering lengths.hep-ph/0610364CERN-PH-TH-2006-219IFIC-06-37CERN-PH-TH-2006-219IFIC-2006-37oai:cds.cern.ch:9934372006-10-27
spellingShingle Particle Physics - Phenomenology
Scimemi, Ignazio
Gamiz, Elvira
Prades, Joaquim
Measuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decays
title Measuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decays
title_full Measuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decays
title_fullStr Measuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decays
title_full_unstemmed Measuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decays
title_short Measuring the a0-a2 pion scattering lengths through $K \to 3 \pi$ decays
title_sort measuring the a0-a2 pion scattering lengths through $k \to 3 \pi$ decays
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.nuclphysbps.2007.08.098
http://cds.cern.ch/record/993437
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AT gamizelvira measuringthea0a2pionscatteringlengthsthroughkto3pidecays
AT pradesjoaquim measuringthea0a2pionscatteringlengthsthroughkto3pidecays

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