Covariant color-kinematics duality, Hopf algebras, and permutohedra
文献类型：期刊论文
| 作者 | Cao, Qu5; Dong, Jin; He, Song1,2,3 ; Zhang, Yao-Qi
|
| 刊名 | PHYSICAL REVIEW D
 |
| 出版日期 | 2023 |
| 卷号 | 107期号:2页码:26022 |
| 关键词 | AMPLITUDES |
| ISSN号 | 2470-0010 |
| DOI | 10.1103/PhysRevD.107.026022 |
| 英文摘要 | Based on the covariant color-kinematics duality, we investigate combinatorial and algebraic structures underlying their Bern-Carrasco-Johansson (BCJ) numerators of tree-level amplitudes in Yang-Mills-scalar (YMS) theory. The closed formulas for BCJ numerators of YMS amplitudes and the pure-YM ones exhibit nice quasishuffle Hopf algebra structures, and interestingly they can be viewed as summing over boundaries of all dimensions of a combinatorial permutohedron. In particular, the numerator with two scalars and n - 2 gluons contains Fubini number (Fn-2) of terms in one-to-one correspondence with boundaries of a (n - 3)-dimensional permutohedron, and each of them has its own spurious-pole structures and a gauge-invariant numerator (both depending on reference momenta). From such Hopf algebra or permutohedron structure, we derive new recursion relations for the numerators and intriguing factori-zation on each spurious pole/facet of the permutohedron. Similar results hold for general YMS numerators and the pure-YM ones. Finally, with a special choice of reference momenta, our results imply BCJ numerators in a heavy-mass effective field theory with two massive particles and n - 2 gluons/gravitons: we observe highly nontrivial cancellations in the heavy-mass limit, leading to new formulas for the effective numerators that resemble those obtained in recent works. |
| 学科主题 | Astronomy & Astrophysics ; Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27953]  |
| 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.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.Int Ctr Theoret Phys Asia Pacific, Beijing 100080, Peoples R China 4.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 6.Zhejiang Univ, Zhejiang Inst Modern Phys, Dept Phys, Hangzhou 310027, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Qu,Dong, Jin,He, Song,et al. Covariant color-kinematics duality, Hopf algebras, and permutohedra[J]. PHYSICAL REVIEW D,2023,107(2):26022. |
| APA | Cao, Qu,Dong, Jin,He, Song,&Zhang, Yao-Qi.(2023).Covariant color-kinematics duality, Hopf algebras, and permutohedra.PHYSICAL REVIEW D,107(2),26022. |
| MLA | Cao, Qu,et al."Covariant color-kinematics duality, Hopf algebras, and permutohedra".PHYSICAL REVIEW D 107.2(2023):26022. |
入库方式： OAI收割
来源：理论物理研究所
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