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Closing in on the radiative weak chiral couplings

2017/12/29 by Luigi Cappiello, Oscar Catà, Oscar Cata +2
Physics and Astronomy · #Closing (real estate) #Consistency (knowledge bases) #Coupling (piping) #Current (fluid) #Dalitz plot #High-Energy Particle Collisions Research #Large Hadron Collider #Particle physics theoretical and experimental studies #Point (geometry) #Quantum Chromodynamics and Particle Interactions #Radiative transfer #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-018-5748-6

14 pages, 4 figures

arxiv created 2017/12/29 · openalex created_date 2018/01/05 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/18 · openalex updated_date 2026/08/06

Abstract

We point out that, given the current experimental status of radiative kaon decays, a subclass of the O (p4) counterterms of the weak chiral lagrangian can be determined in closed form. This involves in a decisive way the decay K^± → π ^± π 0 l+ l- , currently being measured at CERN by the NA48/2 and NA62 collaborations. We show that consistency with other radiative kaon decay measurements leads to a rather clean prediction for the \mathcalO(p4) weak couplings entering this decay mode. This results in a characteristic pattern for the interference Dalitz plot, susceptible to be tested already with the limited statistics available at NA48/2. We also provide the first analysis of KS→ π +π -γ ^* , which will be measured by LHCb and will help reduce (together with the related KL decay) the experimental uncertainty on the radiative weak chiral couplings. A precise experimental determination of the \mathcalO(p4) weak couplings is important in order to assess the validity of the existing theoretical models in a conclusive way. We briefly comment on the current theoretical situation and discuss the merits of the different theoretical approaches.

Citations