Abstract
Leptoquarks (LQs) are predicted within Grand Unified Theories and are well motivated by the current flavor anomalies. In this article we investigate the impact of scalar LQs on Higgs decays and oblique corrections as complementary observables in the search for them. Taking into account all five LQ representations under the Standard Model gauge group and including the most general mixing among them, we calculate the effects in h → γγ, h → gg, h → Zγ and the Peskin-Takeuchi parameters S, T and U. We find that these observables depend on the same Lagrangian parameters, leading to interesting correlations among them. While the current experimental bounds only yield weak constraints on the model, these correlations can be used to distinguish different LQ representations at future colliders (ILC, CLIC, FCC-ee and FCC-hh), whose discovery potential we are going to discuss.
Highlights
Considered more than a single LQ representation at a time
In this article we investigate the impact of scalar LQs on Higgs decays and oblique corrections as complementary observables in the search for them
Since we are interested in loop effects in this work, we will focus on the latter ones in the following
Summary
There are ten possible representations of LQs under the SM gauge group [5]. While for vector LQs a Higgs mechanism is necessary to render the model renormalizable, scalar LQs can be added to the SM. In addition to the gauge interactions of the LQs, determined by the respective representation under the SM gauge group, LQs can couple to the SM Higgs doublet H (with hypercharge +1) via the Lagrangian [144]1. This parametrizes the mass terms in the Lagrangian, where Q is the electric charge and we defined. In order to arrive at the physical basis we need to diagonalize the mass matrices in eq (2.5). With h as the physical Higgs field, Φ Q being the mass eigenstates of charge Q with a, b again running from 1 to 3 for Q = −1/3 and Q = 2/3 and from 1 to 2 for Q = −4/3. The expanded expressions for ΓQ and ΛQ up to O(v2) are given in the appendix
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