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Communication Dans Un Congrès Année : 2021

On dispersive representation of kaon and eta decays to 3 pions

Martin Zdrahal
  • Fonction : Auteur
Karol Kampf
  • Fonction : Auteur
Jiri Novotny
  • Fonction : Auteur

Résumé

We present and develop a general dispersive framework allowing us to construct representations of the amplitudes for the processes $P\pi\to\pi\pi$, $P=K, \eta$, valid at the two-loop level in the low-energy expansion. The construction proceeds through a two-step iteration, starting from the tree-level amplitudes and their S and P partial-wave projections. The one-loop amplitudes are obtained for all possible configurations of pion masses. The second iteration is performed in the cases where either all masses of charged and neutral pions are equal or for the decay into three neutral pions. Issues related to analyticity properties of the amplitudes and their lowest partial-wave projections are given particular attention.

Dates et versions

hal-03210404 , version 1 (27-04-2021)

Identifiants

Citer

Martin Zdrahal, Karol Kampf, Marc Knecht, Jiri Novotny. On dispersive representation of kaon and eta decays to 3 pions. 40th International Conference on High Energy Physics, Jul 2020, Prague, Czech Republic. pp.523, ⟨10.22323/1.390.0523⟩. ⟨hal-03210404⟩
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