2022/04/14 by Li-Yuan Chiang, Yu-tin Huang, Chiang, Li-Yuan +5 · 4 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Materials Science · Physics and Astronomy · #Electron Spin Resonance Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Magnetism in coordination complexes #Particle accelerators and beam dynamics #hep-th
paper · pdf · doi:10.48550/arxiv.2204.07140
v2. Corrected normalization of scalar loop amplitude
openalex publication_date 2022/04/14 · arxiv created 2022/04/18 · arxiv updated 2022/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The space of Wilson coefficients of EFT that can be UV completed into consistent theories was recently shown to be described analytically by a positive geometry, termed the EFThedron. However, this geometry, as well as complementary numerical methods of semi-definite programming, have so far focused on the positivity of the partial wave expansion, which allows bounding only ratios of couplings. In this paper we describe how the unitarity upper bound of the partial waves can be incorporated. This new problem can be formulated in terms of the well known L-moment problem, which we generalize and solve from a geometrical perspective. We find the non-projective generalization of the EFThedron has an infinite number of non-linear facets, which in some cases have remarkably simple descriptions. We use these results to derive bounds on single couplings, finding that the leading derivative operators are bounded by unity, when normalized by the cut-off scale and loop factors. For general operators of mass dimension 2k we find the upper bound is heavily suppressed at large k, with an 1/k fall-off.