Large N hadron scattering bootstrap: massive pions and glueballs

@misc{bocchia2026large,
  title = {{Large $N$ hadron scattering bootstrap: massive pions and glueballs}},
  author = {Sebastiano Bocchia and Andrea Guerrieri},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31578},
  eprint = {2610.31578},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31578},
}

TY  - UNPB
TI  - Large N hadron scattering bootstrap: massive pions and glueballs
AU  - Sebastiano Bocchia
AU  - Andrea Guerrieri
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31578
UR  - https://arxiv.org/abs/2610.31578
AB  - We extend the large N bootstrap of pion scattering to nonzero pion mass, and apply the same formalism to glueball scattering. Our bounds apply to Taylor coefficients and on-shell couplings of the exact planar amplitude. They do not rely on a truncated chiral expansion, so we can follow them as the quark mass varies, and apply them to glueballs, for which no low-energy effective theory exists. For pions, we bound the O(p^4) coefficients and the ππf_2 coupling. As in the chiral limit, the bound on the ππf_2 coupling features a kink, where the extracted spectrum closely resembles the real-world meson spectrum. For glueballs, we bound the couplings of the lightest scalar glueball to heavier glueballs of higher spin, using the large N lattice spectrum as input, and find extremal solutions with linear Regge trajectories.
ER  -