These effective operators are typically the result of integrating out some degrees of freedom at a higher scale. The actually UV complete theory can contain only d=4 operators.zaman786 said:TL;DR Summary: how to add higher dimensional operator to SM
Hi, I Learned that we can add higher dimensional operator but they are non-renormalizable - but effect of higher dimensional operator is vanishes at low energy - my question is than how can we add higher dimensional operator at higher energy - like dimension 5 operator ( weinberg operator) which is non- renormalizable.
Yes, higher dimensional operators can be added to the Standard Model at higher energies through the process of renormalization. This allows for the inclusion of operators with higher mass dimensions to account for physics beyond the energy scale of the Standard Model.
Higher dimensional operators can modify the predictions of the Standard Model at higher energies by introducing new interactions and terms in the Lagrangian. These modifications can lead to deviations from the Standard Model predictions and provide insights into new physics beyond the Standard Model.
The addition of higher dimensional operators to the Standard Model at higher energies is significant as it allows for the exploration of physics beyond the energy scale of the Standard Model. This can help in addressing open questions in particle physics and provide clues to new phenomena that lie beyond our current understanding.
Yes, there are experimental signatures that can help in detecting the effects of higher dimensional operators at higher energies. These include deviations from Standard Model predictions in particle interactions, precision measurements of particle properties, and the observation of new particles or interactions that are not accounted for in the Standard Model.
Theorists incorporate higher dimensional operators into theoretical models at higher energies by extending the Standard Model Lagrangian to include these operators. This involves constructing effective field theories that capture the physics beyond the energy scale of the Standard Model and studying the implications of these operators on particle interactions and phenomena.