Perturbative Power Counting, Lowest-Index Operators and Their Renormalization in Standard Model Effective Field Theory

doi:10.1088/0253-6102/69/3/285

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	Perturbative Power Counting, Lowest-Index Operators and Their Renormalization in Standard Model Effective Field Theory
	Liao, Y 2,3; Ma, XD
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2018
卷号	69 期号:3 页码:285-290
关键词	NEUTRINO MASS OPERATOR VIRTUAL PHOTONS
ISSN号	0253-6102
DOI	10.1088/0253-6102/69/3/285
英文摘要	We 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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22946]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan, Peoples R China 2.Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 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.