We investigate the quark-level effective operators related to the neutrinoless double beta <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mo stretchy="false">(</a:mo><a:mn>0</a:mn><a:mi>ν</a:mi><a:mi>β</a:mi><a:mi>β</a:mi><a:mo stretchy="false">)</a:mo></a:math> decay process and their ultraviolet completions relevant to chiral enhancement effects at the hadronic level. We have classified several kinds of leptoquark models, matching to different standard model effective operators. Assuming weakly coupled new physics, we find the ongoing <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mn>0</e:mn><e:mi>ν</e:mi><e:mi>β</e:mi><e:mi>β</e:mi></e:math> decay experiments are sensitive to new physics scale at around 2–4 TeV, which is in the reach of LHC searches. We discuss the discovery potential of such resonances in the same-sign dilepton channels at the LHC. Therefore, the direct LHC searches and indirect <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mn>0</g:mn><g:mi>ν</g:mi><g:mi>β</g:mi><g:mi>β</g:mi></g:math> decay searches are complementary to each other in testing the UV completions of the effective operators for <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mn>0</i:mn><i:mi>ν</i:mi><i:mi>β</i:mi><i:mi>β</i:mi></i:math> decay.
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Li et al. (2024) studied this question.
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