REVIEW 8 cited by
Functional Matching and Renormalization Group Equations at Two-Loop Order
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
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.
Forward citations
Cited by 8 Pith papers
-
One-loop matching of the LEFT to the QCD gradient flow
All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.
-
Renormalization of general Effective Field Theories: Formalism and renormalization of bosonic operators
The authors compute, for the first time, the one-loop renormalization group equations of the bosonic operators of a completely general EFT up to mass dimension 6.
-
Renormalization-group equations of the LEFT at two loops: dimension-five effects
The complete two-loop renormalization-group equations for the dimension-five LEFT sector, derived in a chirally symmetric scheme, with two methods that avoid gauge-variant nuisance operators.
-
A Guide to Functional Methods Beyond One-Loop Order
Functional methods are generalized to two-loop EFT matching and running with manifest gauge covariance, and the hard-region matching formula is proven to all loop orders.
-
Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT
For the first time, the two-loop Yukawa-induced renormalisation-group running of the Higgs-gluon coupling from D^2H^4 and D H^2 ψ^2 SMEFT operators is computed.
-
Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
The two-loop anomalous dimensions for all dimension-six baryon-number-violating LEFT operators are derived in the 't Hooft-Veltman and naive dimensional regularization schemes.
-
Renormalizing Two-Fermion Operators in the SMEFT via Supergeometry
A covariant one-loop divergence formula for mixed boson-fermion graphs is derived and applied to dimension-eight two-fermion RGEs in the SMEFT.
-
Renormalisation group evolution effects on global SMEFT analyses
Including RGE effects in a global SMEFT fit improves bounds on poorly constrained four-quark operators but weakens limits on modified Z q qbar couplings by up to a factor of ten.
Discussion (0). Continue with ORCID to comment.