A surface integrand for the inverse KLT kernel
- 1Charles University
- 2University of California
Abstract
A bstract : We propose a loop-level generalization of the inverse string theory Kawai-Lewellen-Tye (KLT) kernel: the planar inverse KLT integrand . The integrand is defined constructively via a novel Berends-Giele-like recursion that exposes the inverse KLT kernel as the simplest toy model of a “stringy amplitude”. We show that, to all loop orders, the inverse KLT integrand is structurally equivalent to integrands in the cubic scalar tr ϕ ³ theory. This simplicity is obscured in the conventional Feynman diagram approach, where the inverse KLT integrand receives contributions from an infinity of infinite towers of contact interactions. The inverse KLT integrand is a rational function of stringified kinematic variables and is naturally defined on the kinematic surface proposed by Arkani-Hamed et al. [1, 2]. It provides an elementary analogue of the surfacehedron integrand for the tr ϕ ³ theory involving only scalar resonances and unifies the scattering of cubic scalars and pions in the non-linear sigma model (NLSM) to all loop orders via kinematic α ′ -shifts.
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BibTeX
@article{bartsch2026surface,
title = {{A surface integrand for the inverse KLT kernel}},
author = {Christoph Bartsch and Karol Kampf and Jiří Novotný and Jaroslav Trnka},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)099},
url = {https://link.springer.com/10.1007/JHEP10(2026)099},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - A surface integrand for the inverse KLT kernel
AU - Christoph Bartsch
AU - Karol Kampf
AU - Jiří Novotný
AU - Jaroslav Trnka
PY - 2026
DA - 2026/10/08
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)099
UR - https://link.springer.com/10.1007/JHEP10(2026)099
AB - A bstract : We propose a loop-level generalization of the inverse string theory Kawai-Lewellen-Tye (KLT) kernel: the planar inverse KLT integrand . The integrand is defined constructively via a novel Berends-Giele-like recursion that exposes the inverse KLT kernel as the simplest toy model of a “stringy amplitude”. We show that, to all loop orders, the inverse KLT integrand is structurally equivalent to integrands in the cubic scalar tr ϕ ³ theory. This simplicity is obscured in the conventional Feynman diagram approach, where the inverse KLT integrand receives contributions from an infinity of infinite towers of contact interactions. The inverse KLT integrand is a rational function of stringified kinematic variables and is naturally defined on the kinematic surface proposed by Arkani-Hamed et al. [1, 2]. It provides an elementary analogue of the surfacehedron integrand for the tr ϕ ³ theory involving only scalar resonances and unifies the scattering of cubic scalars and pions in the non-linear sigma model (NLSM) to all loop orders via kinematic α ′ -shifts.
SN - 1029-8479
ER -