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Bootstrapping the $a$-anomaly in $4d$ QFTs

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arxiv 2204.01786 v2 pith:RRBPAOV6 submitted 2022-04-04 hep-th

Denis Karateev , Jan Marucha , João Penedones , Biswajit Sahoo This is my paper · ORCID
classification hep-th
keywords mathbbanomalyfieldparticleqftsamplitudeanalyticityassume
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abstract

We study gapped 4d quantum field theories (QFTs) obtained from a relevant deformation of a UV conformal field theory (CFT). For simplicity, we assume the existence of a $\mathbb{Z}_2$ symmetry and a single $\mathbb{Z}_2$-odd stable particle and no $\mathbb{Z}_2$-even particles at low energies. Using unitarity, crossing and the assumption of maximal analyticity we compute numerically a lower bound on the value of the $a$-anomaly of the UV CFT as a function of various non-perturbative parameters describing the two-to-two scattering amplitude of the particle.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cross-Section Bootstrap: Unveiling the Froissart Amplitude

    hep-th 2025-06 conditional novelty 6.0 of 10

    A universal finite-energy upper bound on the integrated cross-section for identical scalars is derived; the conjectured saturating "Froissart amplitude" shows Regge trajectories, a rising cross-section, and annulus-li...

  2. Bootstrapping Gravity with Crossing Symmetric Dispersion Relations

    hep-th 2025-06 conditional novelty 5.0 of 10

    A crossing-symmetric dispersion-relation bootstrap reproduces known gravitational EFT bounds and gives new tree-level limits on the graviton coupling to a massive spin-4 state.

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