A particle physicist lacing their shoes

Fuente: arXiv
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Autor principal: Alonso, Rodrigo
Formato: Preprint
Publicado: 2025
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author Alonso, Rodrigo
author_facet Alonso, Rodrigo
contents This letter presents the solution to a counting problem, to the best of our knowledge not known in full generality, which can be mapped to both (i) ways to lace a $N$-holes-per-side shoe with $\ell$ shoestrings and (ii) a sum over the indexes of $2N$-tensors made of symmetric 2-tensors. The coefficients that answer this question are then connected to spin $J=N$ boson exchange amplitudes and perturbative unitarity constraints, deriving relations with Legendre polynomials and sum rules.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18935
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A particle physicist lacing their shoes
Alonso, Rodrigo
High Energy Physics - Theory
Mathematical Physics
This letter presents the solution to a counting problem, to the best of our knowledge not known in full generality, which can be mapped to both (i) ways to lace a $N$-holes-per-side shoe with $\ell$ shoestrings and (ii) a sum over the indexes of $2N$-tensors made of symmetric 2-tensors. The coefficients that answer this question are then connected to spin $J=N$ boson exchange amplitudes and perturbative unitarity constraints, deriving relations with Legendre polynomials and sum rules.
title A particle physicist lacing their shoes
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2503.18935