The Standard Model stands as the cornerstone of our understanding of the fundamental constituents of the universe and their interactions. Developed over decades of ground breaking experimental observations and theoretical advancements, the Standard Model provides a comprehensive framework that elegantly describes the elementary particles and the forces governing their behavior. The model unifies the electromagnetic, weak, and strong nuclear forces.

Within the Standard Model, quarks and leptons constitute the building blocks of matter, while gauge bosons mediate the fundamental forces. The Higgs boson, discovered in 2012, endows particles with mass, completing the model’s intricate tapestry.

Despite its unparalleled success in explaining a myriad of experimental results, the Standard Model has its own enigmas. Unexplored realms, such as dark matter, and the hierarchical nature of particle masses, hint at physics beyond the Standard Model. As researchers delve into these mysteries, the Standard Model continues to serve as a guide, challenging minds to unravel the deeper intricacies of the universe’s most fundamental constituents.

However, the very same success of the Standard Model has increased the challenges and complexities involved in comparing theoretical predictions with experimental results. In fact, reducing theoretical uncertainty through higher order computations suggests a need for more accurate and refined theoretical predictions. To this scope, higher order computations are crucial for improving the precision of theoretical predictions and reducing uncertainties when comparing them with experimental data.

Additionally, exploring new sectors within the Standard Model, such as those involving composite operators featuring multiple Higgs particles, adds to the ongoing quest to understand the fundamental nature of particles and their interactions. This exploration could potentially lead to the discovery of new phenomena or particles that extend beyond the current understanding provided by the Standard Model.

To inch forward in this direction, in our recent work we have shown how to determine the quantum corrections for the family of lowest-lying Higgs operators with fixed hypercharge Q. We determined their anomalous dimensions to infinite orders in the Standard Model coupling strengths and leading and subleading orders in Q. 

In summary, the constant interplay between theoretical advancements and experimental investigations is essential for pushing the boundaries of our knowledge in particle physics and addressing the remaining questions and uncertainties within the field.