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Lin, Guanda; Yang, Gang1,2,3,4
Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
AbstractForm factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large N-c planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in the SU(2) sector in N = 4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors of high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor result provides an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergences, we also reproduce the known non-planar SU(2) dilatation operator at two loops. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result.
2021
ISSN1029-8479
Issue4Pages:176
Cooperation Status国内
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1007/JHEP04(2021)176
Indexed BySCIE
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/27417
CollectionSCI期刊论文
Affiliation1.Peking Univ, Sch Phys, Beijing 100871, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China
4.Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China
5.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Lin, Guanda,Yang, Gang. Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(4):176.
APA Lin, Guanda,&Yang, Gang.(2021).Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality.JOURNAL OF HIGH ENERGY PHYSICS(4),176.
MLA Lin, Guanda,et al."Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality".JOURNAL OF HIGH ENERGY PHYSICS .4(2021):176.
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