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Liao, Y1,2; Ma, XD
Perturbative Power Counting, Lowest-Index Operators and Their Renormalization in Standard Model Effective Field Theory
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
KeywordNEUTRINO MASS OPERATOR VIRTUAL PHOTONS
AbstractWe study two aspects of higher dimensional operators in standard model effective field theory. We first introduce a perturbative power counting rule for the entries in the anomalous dimension matrix of operators with equal mass dimension. The power counting is determined by the number of loops and the difference of the indices of the two operators involved, which in turn is defined by assuming that all terms in the standard model Lagrangian have an equal perturbative power. Then we show that the operators with the lowest index are unique at each mass dimension d, i.e., (H-dagger H)(d/2) for even d >= 4, and (L-T epsilon H)C(L-T epsilon H)(T) (H-dagger H)((d-5)/2) for odd d >= 5. Here H, L are the Higgs and lepton doublet, and epsilon, C the antisymmetric matrix of rank two and the charge conjugation matrix, respectively. The renormalization group running of these operators can be studied separately from other operators of equal mass dimension at the leading order in power counting. We compute their anomalous dimensions at one loop for general d and find that they are enhanced quadratically in d due to combinatorics. We also make connections with classification of operators in terms of their holomorphic and anti-holomorphic weights.
2018
ISSN0253-6102
Volume69Issue:3Pages:285-290
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
DOI10.1088/0253-6102/69/3/285
Indexed BySCIE
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22946
Collection理论物理所科研产出_SCI论文
Affiliation1.Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China
Recommended Citation
GB/T 7714
Liao, Y,Ma, XD. Perturbative Power Counting, Lowest-Index Operators and Their Renormalization in Standard Model Effective Field Theory[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2018,69(3):285-290.
APA Liao, Y,&Ma, XD.(2018).Perturbative Power Counting, Lowest-Index Operators and Their Renormalization in Standard Model Effective Field Theory.COMMUNICATIONS IN THEORETICAL PHYSICS,69(3),285-290.
MLA Liao, Y,et al."Perturbative Power Counting, Lowest-Index Operators and Their Renormalization in Standard Model Effective Field Theory".COMMUNICATIONS IN THEORETICAL PHYSICS 69.3(2018):285-290.
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