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Title: UV massive resonance from IR double copy consistency

Journal Article · · Physical Review. D.
ORCiD logo [1]; ORCiD logo [2]
  1. Northwestern Univ., Evanston, IL (United States)
  2. Northwestern Univ., Evanston, IL (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

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 Padé extrapolation to solve the inverse problem of identifying massive UV resonance from a small number of IR Wilson coefficients.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); USDOE
Grant/Contract Number:
AC02-76SF00515; SC0015910; SC0014664
OSTI ID:
2320324
Alternate ID(s):
OSTI ID: 2405011
Journal Information:
Physical Review. D., Vol. 109, Issue 6; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (81)

Scattering amplitudes and the double copy in topologically massive theories journal December 2020
Massive double copy in three spacetime dimensions journal August 2021
Causality, analyticity and an IR obstruction to UV completion journal October 2006
An R 4 non-renormalization theorem in $\mathcal N=4$ super-gravity journal May 2012
Single-valued hyperlogarithms, correlation functions and closed string amplitudes journal January 2022
Semi-abelian Z-theory: NLSM+ϕ 3 from the open string journal August 2017
Complete N-point superstring disk amplitude I. Pure spinor computation journal August 2013
Positivity of Amplitudes, Weak Gravity Conjecture, and Modified Gravity journal December 2019
Overcoming obstacles to colour-kinematics duality at two loops journal December 2015
Pions as gluons in higher dimensions journal April 2018
Bespoke dual resonance journal October 2023
Double-copy constructions and unitarity cuts journal May 2016
Uniformization and Constructive Analytic Continuation of Taylor Series journal March 2022
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal July 2015
Manifest ultraviolet behavior for the three-loop four-point amplitude of N = 8 supergravity journal November 2008
Enhanced ultraviolet cancellations in N = 5 supergravity at four loops journal November 2014
Non-abelian Z-theory: Berends-Giele recursion for the α ′-expansion of disk integrals journal January 2017
Physical resurgent extrapolation journal September 2020
Structure of Chern-Simons scattering amplitudes from topological equivalence theorem and double-copy journal January 2022
The SAGEX review on scattering amplitudes* journal November 2022
Cancellations Beyond Finiteness in N = 8 Supergravity at Three Loops journal April 2007
Closed strings as single-valued open strings: a genus-zero derivation journal January 2019
Single-Valued Integration and Superstring Amplitudes in Genus Zero journal February 2021
Scattering of massless particles: scalars, gluons and gravitons journal July 2014
Heterotic and bosonic string amplitudes via field theory journal October 2018
Invariants and divergences in half-maximal supergravity theories journal July 2013
Resurgence of the effective action in inhomogeneous fields journal March 2023
Universality in string interactions journal September 2016
Higher-loop Euler-Heisenberg transseries structure journal March 2021
Virtues of a symmetric-structure double copy journal March 2023
The action with manifest E7 type symmetry journal May 2019
Unitarity and High-Energy Behavior of Scattering Amplitudes journal February 1963
Gravitational effective field theory islands, low-spin dominance, and the four-graviton amplitude journal August 2021
Amplitude relations in non-linear sigma model journal January 2014
Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal August 2010
Ultraviolet Properties of N = 4 Supergravity at Four Loops journal December 2013
Gravity loop integrands from the ultraviolet journal January 2021
Strings from massive higher spins: the asymptotic uniqueness of the Veneziano amplitude journal October 2017
Double copy for massive scalar field theories journal August 2022
Deformation of d = 4, $$ \mathcal{N} $$ ≥ 5 supergravities breaks nonlinear local supersymmetry journal June 2023
UV cancellations in gravity loop integrands journal February 2019
A relation between tree amplitudes of closed and open strings journal May 1986
Even-point multi-loop unitarity and its applications: exponentiation, anomalies and evanescence journal January 2024
Multigluon cross sections and 5-jet production at hadron colliders journal January 1989
Motivic multiple zeta values and superstring amplitudes journal November 2013
Positivity bounds for scalar field theories journal October 2017
Symmetry for Flavor-Kinematics Duality from an Action journal March 2017
Simple Encoding of Higher-Derivative Gauge and Gravity Counterterms journal December 2020
The vanishing volume of D = 4 superspace journal September 2011
Partial-wave unitarity and closed-string amplitudes journal March 1987
Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes journal May 2012
Bootstrapping the String Kawai-Lewellen-Tye Kernel journal July 2023
Unitarity of closed superstring perturbation theory journal September 1990
The SAGEX review on scattering amplitudes Chapter 2: An invitation to color-kinematics duality and the double copy journal October 2022
Ultraviolet cancellations in half-maximal supergravity as a consequence of the double-copy structure journal November 2012
Five-loop four-point integrand of N = 8 supergravity as a generalized double copy journal December 2017
Minimal Basis for Gauge Theory Amplitudes journal October 2009
The momentum kernel of gauge and gravity theories journal January 2011
Closed string amplitudes as single-valued open string amplitudes journal April 2014
Positive moments for scattering amplitudes journal August 2021
Constraints on a massive double-copy and applications to massive gravity journal February 2021
Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values journal November 2019
Double-copy towards supergravity inflation with α-attractor models journal February 2023
Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string journal June 2017
Effective observables for electromagnetic duality from novel amplitude decomposition journal March 2023
Positivity bounds on effective field theories with spontaneously broken Lorentz invariance journal September 2022
Tree-level amplitudes from the pure spinor superstring journal June 2023
New relations for gauge-theory amplitudes journal October 2008
Scalar Bern-Carrasco-Johansson bootstrap journal November 2023
Multi-leg one-loop gravity amplitudes from gauge theory journal April 1999
On unitarity of tree-level string amplitudes journal February 2022
Massive gravity from double copy journal December 2020
Compatibility of the dual Pomeron with unitarity and the absence of ghosts in the dual resonance model journal June 1972
Ultraviolet properties of N = 8 supergravity at five loops journal October 2018
Phenomenological Lagrangians journal April 1979
Spontaneously broken Yang-Mills-Einstein supergravities as double copies journal June 2017
Color-Dual Fates of F3 , R3 , and N=4 Supergravity journal August 2023
Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator journal March 2014
Physics of the analytic S-matrix journal January 2024
Ultraviolet structure of half-maximal supergravity with matter multiplets at two and three loops journal September 2013
Polylogarithms, multiple zeta values and superstring amplitudes journal August 2013