The symbol and alphabet of two-loop NMHV amplitudes from Q equations

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

The symbol and alphabet of two-loop NMHV amplitudes from Q equations. / He, Song; Li, Zhenjie; Zhang, Chi.

I: Journal of High Energy Physics, Bind 2021, Nr. 3, 278, 30.03.2021.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

He, S, Li, Z & Zhang, C 2021, 'The symbol and alphabet of two-loop NMHV amplitudes from Q equations', Journal of High Energy Physics, bind 2021, nr. 3, 278. https://doi.org/10.1007/JHEP03(2021)278

APA

He, S., Li, Z., & Zhang, C. (2021). The symbol and alphabet of two-loop NMHV amplitudes from Q equations. Journal of High Energy Physics, 2021(3), [278]. https://doi.org/10.1007/JHEP03(2021)278

Vancouver

He S, Li Z, Zhang C. The symbol and alphabet of two-loop NMHV amplitudes from Q equations. Journal of High Energy Physics. 2021 mar. 30;2021(3). 278. https://doi.org/10.1007/JHEP03(2021)278

Author

He, Song ; Li, Zhenjie ; Zhang, Chi. / The symbol and alphabet of two-loop NMHV amplitudes from Q equations. I: Journal of High Energy Physics. 2021 ; Bind 2021, Nr. 3.

Bibtex

@article{06eff4ff204b43499f4c41fd5c415072,
title = "The symbol and alphabet of two-loop NMHV amplitudes from Q equations",
abstract = "We study the symbol and the alphabet for two-loop NMHV amplitudes in planar N = 4 super-Yang-Mills from the Q equations, which provide a first-principle method for computing multi-loop amplitudes. Starting from one-loop (NMHV)-M-2 ratio functions, we explain in detail how to use Q equations to obtain the total differential of two-loop n-point NMHV amplitudes, whose symbol contains letters that are algebraic functions of kinematics for n >= 8. We present explicit formula with nice patterns for the part of the symbol involving algebraic letters for all multiplicities, and we find 17 - 2m multiplicative-independent letters for a given square root of Gram determinant, with 0",
keywords = "Scattering Amplitudes, Anomalies in Field and String Theories, Supersymmetric Gauge Theory",
author = "Song He and Zhenjie Li and Chi Zhang",
year = "2021",
month = mar,
day = "30",
doi = "10.1007/JHEP03(2021)278",
language = "English",
volume = "2021",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - The symbol and alphabet of two-loop NMHV amplitudes from Q equations

AU - He, Song

AU - Li, Zhenjie

AU - Zhang, Chi

PY - 2021/3/30

Y1 - 2021/3/30

N2 - We study the symbol and the alphabet for two-loop NMHV amplitudes in planar N = 4 super-Yang-Mills from the Q equations, which provide a first-principle method for computing multi-loop amplitudes. Starting from one-loop (NMHV)-M-2 ratio functions, we explain in detail how to use Q equations to obtain the total differential of two-loop n-point NMHV amplitudes, whose symbol contains letters that are algebraic functions of kinematics for n >= 8. We present explicit formula with nice patterns for the part of the symbol involving algebraic letters for all multiplicities, and we find 17 - 2m multiplicative-independent letters for a given square root of Gram determinant, with 0

AB - We study the symbol and the alphabet for two-loop NMHV amplitudes in planar N = 4 super-Yang-Mills from the Q equations, which provide a first-principle method for computing multi-loop amplitudes. Starting from one-loop (NMHV)-M-2 ratio functions, we explain in detail how to use Q equations to obtain the total differential of two-loop n-point NMHV amplitudes, whose symbol contains letters that are algebraic functions of kinematics for n >= 8. We present explicit formula with nice patterns for the part of the symbol involving algebraic letters for all multiplicities, and we find 17 - 2m multiplicative-independent letters for a given square root of Gram determinant, with 0

KW - Scattering Amplitudes

KW - Anomalies in Field and String Theories

KW - Supersymmetric Gauge Theory

U2 - 10.1007/JHEP03(2021)278

DO - 10.1007/JHEP03(2021)278

M3 - Journal article

VL - 2021

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 3

M1 - 278

ER -

ID: 260546863