TY  - JOUR
AU  - Bayar, M.
AU  - Molina, R.
AU  - Oset, E.
AU  - Liu, M. Z.
AU  - Geng, L. S.
PY  - 2024
DA  - 2024//
TI  - Subtleties in triangle loops for Ds+ → ρ+ η → π+ π0 η in a0(980) production
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 076027
EP  - 7pp
VL  - 109
IS  - 7
PB  - Amer Physical Soc
AB  - We address a general problem in the evaluation of triangle loops stemming from the consideration of the range of the interaction involved in some of the vertices, as well as the energy dependence of the width of some unstable particles in the loop. We find sizeable corrections from both effects. We apply that to a loop relevant to the D + s -> pi + pi 0 eta decay, and find reductions of about a factor of 4 in the mass distribution of invariant mass of the pi eta in the region of the a 0 ( 980 ) . The method used is based on the explicit analytical evaluation of the q 0 integration in the d 4 q loop integration, using Cauchy 's residues method, which at the same time offers an insight on the convergence of the integrals and the effect of form factors and cutoffs.
SN  - 2470-0010
UR  - https://arxiv.org/abs/2312.12004
UR  - https://doi.org/10.1103/PhysRevD.109.076027
DO  - 10.1103/PhysRevD.109.076027
LA  - English
N1  - WOS:001236271000017
ID  - Bayar_etal2024
ER  -