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PreprintarXiv licencearXiv

Large-N π+π+ scattering from twisted Eguchi--Kawai reduction

  • Claudio Bonanno
  • Margarita García Pérez
  • Antonio González-Arroyo
  • Ken-Ichi Ishikawa
  • Masanori Okawa
  • Fernando Romero-López
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Abstract

We present the first computation of the π+π+ scattering length in large-N QCD in the 't Hooft limit, Nscriptscriptstylef/N→ 0, using the twisted Eguchi--Kawai formulation of the lattice theory. We employ values of N up to 1156 and consider several quark masses and lattice spacings to achieve controlled large-N, continuum, and chiral limits. The chiral behavior of the scattering length is compared with next-to-leading-order Chiral Perturbation Theory predictions. Our result for the low-energy coupling describing the sub-leading quark-mass dependence is consistent with existing S-matrix bootstrap bounds. Combining TEK results with previous lattice QCD data obtained using standard methods for 3≤ N≤ 6, we are also able to extract sub-leading 𝒪(1/N) corrections to the large-N scattering length.

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Cite

BibTeXRIS
BibTeX
@misc{bonanno2026largen,
  title = {{Large-$N$ $π^+π^+$ scattering from twisted Eguchi--Kawai reduction}},
  author = {Claudio Bonanno and Margarita García Pérez and Antonio González-Arroyo and Ken-Ichi Ishikawa and Masanori Okawa and Fernando Romero-López},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35176},
  eprint = {2610.35176},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35176},
}
RIS
TY  - UNPB
TI  - Large-N π^+π^+ scattering from twisted Eguchi--Kawai reduction
AU  - Claudio Bonanno
AU  - Margarita García Pérez
AU  - Antonio González-Arroyo
AU  - Ken-Ichi Ishikawa
AU  - Masanori Okawa
AU  - Fernando Romero-López
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35176
UR  - https://arxiv.org/abs/2610.35176
AB  - We present the first computation of the π^+π^+ scattering length in large-N QCD in the 't Hooft limit, N_scriptscriptstylef/N→ 0, using the twisted Eguchi--Kawai formulation of the lattice theory. We employ values of N up to 1156 and consider several quark masses and lattice spacings to achieve controlled large-N, continuum, and chiral limits. The chiral behavior of the scattering length is compared with next-to-leading-order Chiral Perturbation Theory predictions. Our result for the low-energy coupling describing the sub-leading quark-mass dependence is consistent with existing S-matrix bootstrap bounds. Combining TEK results with previous lattice QCD data obtained using standard methods for 3≤ N≤ 6, we are also able to extract sub-leading 𝒪(1/N) corrections to the large-N scattering length.
ER  -