Master Formula for One-Loop Renormalization of Bosonic SMEFT Operators

Journal Article · Tue Apr 16 04:00:00 EDT 2019 · TBD

OSTI ID:1527397

Buchalla, Gerhard ^[1]; Celis, Alejandro ^[1]; Krause, Claudius ^[2]; Toelstede, Jan-Niklas ^[3]

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1. Munich U., ASC
2. Fermilab
3. Munich, Tech. U.

Using background-field method and super-heat-kernel expansion, we derive a master formula for the one-loop UV divergences of the bosonic dimension-6 operators in Standard Model Effective Field Theory (SMEFT). This approach reduces the calculation of all the UV divergences to algebraic manipulations. Using this formula we corroborate results in the literature for the one-loop anomalous dimension matrix of SMEFT obtained via diagrammatic methods, considering contributions from the operators $$X^3, \phi^6, \phi^4 D^2, X^2 \phi^2$$ of the Warsaw basis. The formula is derived in a general way and can be applied to other quantum field theories as well.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 1527397
• Report Number(s): arXiv:1904.07840; LMU-ASC~15/19; FERMILAB-PUB-19-003-T; 1730078
• Journal Information: TBD, Journal Name: TBD
• Country of Publication: United States
• Language: English

Related Subjects

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