Knowledge Management System of Institute of Theoretical Physics, CAS
Guo, Yuanhong1; Jin, Qingjun2; Wang, Lei1; Yang, Gang1,3,4 | |
Deciphering the maximal transcendentality principle via bootstrap | |
Source Publication | JOURNAL OF HIGH ENERGY PHYSICS |
Language | 英语 |
Keyword | 2-LOOP MASTER INTEGRALS SUDAKOV FORM-FACTOR ANALYTIC CONTINUATION RENORMALIZATION-GROUP ASYMPTOTIC-BEHAVIOR LOOP AMPLITUDES QCD ALGORITHM UNITARITY |
Abstract | We prove the principle of maximal transcendentality for a class of form factors, including the general two-loop minimal form factors, the two-loop three-point form factor of tr(F-2), and the two-loop four-point form factor of tr(F-3). Our proof is based on a recently developed bootstrap method using the representation of master integral expansions, together with some unitarity cuts that are universal in general gauge theories. The maximally transcendental parts of the two-loop four-gluon form factor of tr(F-3) are obtained for the first time in both planar N = 4 SYM and pure YM theories. This form factor can be understood as the Higgs-plus-four-gluon amplitudes involving a dimension-seven operator in the Higgs effective theory. In this case, we find that the maximally transcendental part of the N = 4 SYM result is different from that of pure YM, and the discrepancy is due to the gluino-loop contributions in N = 4 SYM. In contrast, the scalar-loop contributions have no maximally transcendental parts. Thus, the maximal transcendentality principle still holds for the form factor results in N = 4 SYM and QCD, after a proper identification of the fundamental quarks and adjoint gluinos as n(f) -> 4N(c). This seems to be the first example of the maximally transcendental principle that involves fermion-loop contributions. As another intriguing observation, we find that the four-point form factor of the half-BPS tr(phi(3)) operator is precisely a building block in the form factor of tr(F-3). |
2022 | |
ISSN | 1029-8479 |
Issue | 9Pages:161 |
Cooperation Status | 国内 |
Subject Area | Physics |
MOST Discipline Catalogue | Physics, Particles & Fields |
DOI | 10.1007/JHEP09(2022)161 |
Indexed By | SCIE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/27725 |
Collection | SCI期刊论文 |
Affiliation | 1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 3.China Acad Engn Phys, Grad Sch, 10 Xibeiwang East Rd, Beijing 100193, Peoples R China 4.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 5.Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China |
Recommended Citation GB/T 7714 | Guo, Yuanhong,Jin, Qingjun,Wang, Lei,et al. Deciphering the maximal transcendentality principle via bootstrap[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(9):161. |
APA | Guo, Yuanhong,Jin, Qingjun,Wang, Lei,&Yang, Gang.(2022).Deciphering the maximal transcendentality principle via bootstrap.JOURNAL OF HIGH ENERGY PHYSICS(9),161. |
MLA | Guo, Yuanhong,et al."Deciphering the maximal transcendentality principle via bootstrap".JOURNAL OF HIGH ENERGY PHYSICS .9(2022):161. |
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Deciphering the maxi（1184KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | Application Full Text |
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