Electroweak Corrections to Double Higgs Production at the LHC

We present the results for the complete next-to-leading order electroweak corrections to <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>p</a:mi><a:mi>p</a:mi><a:mo stretchy="false">→</a:mo><a:mi>H</a:mi><a:mi>H</a:mi></a:math> at the Large Hadron Collider, focusing on the dominant gluon-gluon fusion process. While the corrections at the total cross-section level are approximately <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:mo>−</d:mo><d:mn>4</d:mn><d:mo>%</d:mo></d:math>, those near the energy of <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mi>H</f:mi><f:mi>H</f:mi></f:math> production threshold exceed <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mo>+</h:mo><h:mn>15</h:mn><h:mo>%</h:mo></h:math>, and corrections at the high-energy region are around <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mo>−</j:mo><j:mn>10</j:mn><j:mo>%</j:mo></j:math>, leading to a shape distortion for the differential distributions. Our findings substantially diminish the theoretical uncertainties associated with this pivotal process, providing valuable input for understanding the shape of the Higgs boson potential upon comparison with experimental measurements.