Functional matching and renormalization group equations at two-loop order
We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from the (double-)hard region of the loop integrals and present a...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-04-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324001151 |
| _version_ | 1797221871169568768 |
|---|---|
| author | Javier Fuentes-Martín Ajdin Palavrić Anders Eller Thomsen |
| author_facet | Javier Fuentes-Martín Ajdin Palavrić Anders Eller Thomsen |
| author_sort | Javier Fuentes-Martín |
| collection | DOAJ |
| description | We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from the (double-)hard region of the loop integrals and present a master formula for matching, applicable to both diagrammatic and functional approaches. We further employ functional methods to determine compact expressions for the effective Lagrangian that do not rely on any previous knowledge of its structure or symmetries. The same methods are also applicable to the computation of renormalization group equations. We demonstrate the application of the functional approach by computing the two-loop matching coefficients and renormalization group equations in a scalar toy model. |
| first_indexed | 2024-04-24T13:12:19Z |
| format | Article |
| id | doaj.art-f8cde484095b47f98fa3eab85d87a560 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-24T13:12:19Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-f8cde484095b47f98fa3eab85d87a5602024-04-05T04:39:44ZengElsevierPhysics Letters B0370-26932024-04-01851138557Functional matching and renormalization group equations at two-loop orderJavier Fuentes-Martín0Ajdin Palavrić1Anders Eller Thomsen2Departamento de Física Teórica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, E–18071 Granada, Spain; Corresponding author.Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, SwitzerlandDepartment of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland; Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, CH-3012 Bern, SwitzerlandWe present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from the (double-)hard region of the loop integrals and present a master formula for matching, applicable to both diagrammatic and functional approaches. We further employ functional methods to determine compact expressions for the effective Lagrangian that do not rely on any previous knowledge of its structure or symmetries. The same methods are also applicable to the computation of renormalization group equations. We demonstrate the application of the functional approach by computing the two-loop matching coefficients and renormalization group equations in a scalar toy model.http://www.sciencedirect.com/science/article/pii/S0370269324001151 |
| spellingShingle | Javier Fuentes-Martín Ajdin Palavrić Anders Eller Thomsen Functional matching and renormalization group equations at two-loop order Physics Letters B |
| title | Functional matching and renormalization group equations at two-loop order |
| title_full | Functional matching and renormalization group equations at two-loop order |
| title_fullStr | Functional matching and renormalization group equations at two-loop order |
| title_full_unstemmed | Functional matching and renormalization group equations at two-loop order |
| title_short | Functional matching and renormalization group equations at two-loop order |
| title_sort | functional matching and renormalization group equations at two loop order |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324001151 |
| work_keys_str_mv | AT javierfuentesmartin functionalmatchingandrenormalizationgroupequationsattwolooporder AT ajdinpalavric functionalmatchingandrenormalizationgroupequationsattwolooporder AT andersellerthomsen functionalmatchingandrenormalizationgroupequationsattwolooporder |