UV Massive Resonance from IR Double Copy Consistency

TL;DR

This paper introduces a class of models where UV massive resonances are reconstructed from IR data using double-copy consistency, revealing a deep link between IR coefficients and UV structure through color-kinematics duality.

Contribution

It demonstrates that UV massive residues can be derived from IR Wilson coefficients via double-copy consistency, suggesting emergent UV features from IR data.

Findings

Double-copy consistency introduces kinematic factors that soften high-energy behavior.

The bootstrap indicates UV structure can emerge from IR Wilson coefficients.

Padé extrapolation helps identify UV resonances from limited IR data.

Abstract

From the perspective of effective field theory (EFT), Wilson coefficients of the low energy theory are determined by integrating out modes of the full ultraviolet (UV) theory. The spectrum can be in principle resummed if one has access to all available infrared (IR) coefficients at low energies. In this work we show that there exists a general class of consistent massive resonance double-copy (CMRDC) models where UV massive residues are reconstructed through double-copy consistency conditions between the IR Wilson coefficients of the full EFT expansion. Through a color-dual bootstrap, we find surprisingly that double-copy consistency alone introduces the kinematic factors of CMRDC models that soften high energy behavior by exponentiating color-dual contacts. This bootstrap suggests that our massive resonance paradigm is an inevitable consequence of the duality between color and kinematics, thereby providing a path towards emergent UV structure directly from the IR. We then demonstrate how CMRDC models can capture a spectrum of massive modes compatible with general multiplicity, and use Pad\'{e} extrapolation to solve the inverse problem of identifying massive UV resonance from a small number of IR Wilson coefficients.