12–16 Dec 2022
IISER Mohali
Asia/Kolkata timezone

Automatisation of Integrating out heavy fields and removing redundancies.

16 Dec 2022, 14:00
1h
LHC Foyer (IISER Mohali)

LHC Foyer

IISER Mohali

Lecture Hall Complex, IISER Mohali, Sector 81, Knowledge city, SAS Nagar, Punjab, India
Poster Poster - 4

Speaker

shakeel ur rahaman

Description

After a decade of the discovery of Higgs boson the direct search for new particles has put an energy gap between the SM and new physics. In this scenario the framework of effective field theory is the ideal one for going forward. Nowadays its a common practice to explain deviations from SM predictions by incorporating effective operators. We can treat the SM as an effective theory by adding higher dimensional terms to its Lagrangian and trying to capture the footprint of the more complete UV theory, this is commonly known as the bottom-up approach. On the other hand, we can choose a complete UV theory, identify the heavy degrees of freedom, integrate them out and obtain operators of higher mass dimension, known as the top-down approach. Covariant Derivative Expansion (CDE) is one of the methodologies that integrate out heavy fields and generate the effective operator and their Wilson coefficient. The two most intriguing traits of CDE are, firstly, the method is manifestly gauge-invariant so the effective operators generated at the end are also gauge-invariant. Secondly, its applicability is universal. Encapsulating these features there is a formula dubbed as the universal one-loop effective action (UOLEA) which has algorithmic essence to it. The Mathematica based package CoDEx based on the UOLEA is one of the tools that can integrate out heavy particles from the tree as well as one-loop diagrams and generate effective operators of mass dimension-6.

Session Beyond the Standard Model

Author

Presentation materials

There are no materials yet.