Long range energy-energy correlator at the LHC

We study the forward-backward azimuthal angular correlations of hadrons in association with multiparticle production in the central rapidity region in proton-proton collisions at the LHC. We apply the nucleon energy-energy correlator framework, where the spinning gluon distribution introduces a nontrivial <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>cos</a:mi><a:mo stretchy="false">(</a:mo><a:mn>2</a:mn><a:mi>ϕ</a:mi><a:mo stretchy="false">)</a:mo></a:math> asymmetries. We will demonstrate that the fundamental helicity structure of quantym chromodynamics (QCD) amplitudes predicts a unique power counting rule: <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>cos</e:mi><e:mo stretchy="false">(</e:mo><e:mn>2</e:mn><e:mi>ϕ</e:mi><e:mo stretchy="false">)</e:mo></e:math> asymmetry starts at <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi mathvariant="script">O</i:mi><i:mo stretchy="false">(</i:mo><i:msubsup><i:mi>α</i:mi><i:mi>s</i:mi><i:mn>2</i:mn></i:msubsup><i:mo stretchy="false">)</i:mo></i:math> order for dijet, <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:mi mathvariant="script">O</n:mi><n:mo stretchy="false">(</n:mo><n:msub><n:mi>α</n:mi><n:mi>s</n:mi></n:msub><n:mo stretchy="false">)</n:mo></n:math> for three jet and <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"><s:mi mathvariant="script">O</s:mi><s:mo stretchy="false">(</s:mo><s:mn>1</s:mn><s:mo stretchy="false">)</s:mo></s:math> for four (and more) jet productions. Our results will help us to understand the longstanding puzzle of nearside ridge behavior observed in high multiplicity events of <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:mi>p</x:mi><x:mi>p</x:mi></x:math> collisions at the LHC.