Effect of high harmonic loops on gravitational wave bounds from cosmic strings

Based on a binary tree model for the self-intersection of cosmic string loops containing high harmonics we estimate number self-intersections parent and daughter associated cusp production to determine most likely events per period resultant non-self-intersecting loops, provide an updated calculation gravitational wave signal that arrives Earth from cusps such loops. This is done different numbers supported strings network, harmonic distributions We plot our results event rate waves emanating in terms redshift, having fixed value $G\ensuremath{\mu}$ received frequency signal, compare those [B. P. Abbott et al., Constraints using data first Advanced LIGO observing run, Phys. Rev. D 97, 102002 (2018); R. Cosmic Strings Using Data Third LIGO--Virgo Observing Run, Lett. 126, 241102 (2021)].