Impact of resummation on the production and experimental bounds of scalar high-electric-charge objects

A one-loop Dyson-Schwinger-like resummation scheme is applied to scalar high-electric-charge compact objects (HECOs), extending previous work on spin-<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mfrac bevelled="true"><a:mrow><a:mn>1</a:mn></a:mrow><a:mrow><a:mn>2</a:mn></a:mrow></a:mfrac></a:mrow></a:math> case. The electromagnetic interactions of HECOs are considered within the framework of strongly coupled scalar quantun electrodynamics. The resummation amounts to determining nontrivial ultraviolet (UV) fixed points, at which the effective Lagrangian, which will lead to the pertinent predictions on the cross sections, is computed. In contrast to the fermionic HECO case, in which the fixed point structure was determined solely by the interactions of the HECOs with the photon field, in the scalar case the existence of nontrivial UV fixed points requires the presence of additional strong self-interactions among the HECOs. Our resummation scheme, which is notably different from a lattice strong-coupling approach, makes the computation of the pertinent scalar-HECO-production cross sections reliable, thus allowing revisiting the mass bounds obtained from searches for such objects in current or future colliders. Our adraph implementation of the results leads to enhanced (up to <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mo>∼</d:mo><d:mn>30</d:mn><d:mo>%</d:mo></d:math>) lower bounds on the mass of scalar HECOs, as compared to those extracted from the tree-level processes typically used in LHC collider searches by ATLAS and MoEDAL experiments.