One-loop diagrams with quadratic propagators from the worldsheet

التفاصيل البيبلوغرافية
العنوان: One-loop diagrams with quadratic propagators from the worldsheet
المؤلفون: Feng, Bo, He, Song, Zhang, Yong, Zhang, Yao-Qi
سنة النشر: 2022
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: It is well known that forward limits of tree-level amplitudes (and those trivalent diagrams they consist of) produce one-loop amplitudes and trivalent diagrams with propagators linear in the loop momentum. They naturally arise from one-loop worldsheet formulae, and an important open problem is how to recombine them into usual one-loop diagrams with quadratic propagators. In this paper, we study a new collection of worldsheet functions: generalized one-loop Parke-Taylor factors with tensor numerators, which are conjectured to serve as a basis for one-loop worldsheet functions with this nice property. We present all-multiplicity, closed-form expressions for combinations of one-loop trivalent diagrams with quadratic propagators and tensor numerators to arbitrary rank (including possible tadpole contributions), produced by any pair of Parke-Taylor factors. We also briefly comment on reducing worldsheet functions onto such a basis, and applications to one-loop amplitudes in physical theories.
Comment: 27+11 pages,2 figures; minor changes, clarifications added, published version
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP08(2022)240
URL الوصول: http://arxiv.org/abs/2204.13659
رقم الأكسشن: edsarx.2204.13659
قاعدة البيانات: arXiv