Complex factorization and recursion for one-loop amplitudes

被引：12

作者：

Alston, Sam D. ^{[1
]}

Dunbar, David C. ^{[1
]}

Perkins, Warren B. ^{[1
]}

机构：

[1] Swansea Univ, Coll Sci, Swansea SA2 8PP, W Glam, Wales

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 08期

关键词：

GRAVITON SCATTERING; GAUGE-THEORY; N=8 SUPERGRAVITY; TREE AMPLITUDES; UNITARITY;

D O I：

10.1103/PhysRevD.86.085022

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the factorization of one-loop amplitudes at complex kinematic points. By determining the terms that are absent for real kinematics, we can construct a recursive ansatz for the purely rational pieces of one-loop amplitudes in massless theories. We illustrate this method by verifying the Bern et al. n-point ansatze for the single-minus one-loop amplitudes in Yang-Mills theory and by constructing the scalar contribution to the one-loop five-graviton maximal-helicity-violating scattering amplitude.

引用

页数：16

共 38 条

[21] Obtaining one-loop gravity amplitudes using spurious singularities [J].

Dunbar, David C. ;

Ettle, James H. ;

Perkins, Warren B. .

PHYSICAL REVIEW D, 2011, 84 (12)

[22] Perturbative expansion of N < 8 Supergravity [J].

Dunbar, David C. ;

Ettle, James H. ;

Perkins, Warren B. .

PHYSICAL REVIEW D, 2011, 83 (06)

[23] Augmented recursion for one-loop gravity amplitudes [J].

Dunbar, David C. ;

Ettle, James H. ;

Perkins, Warren B. .

JOURNAL OF HIGH ENERGY PHYSICS, 2010, (06)

[24] The unitarity method using a canonical basis approach [J].

Dunbar, David C. ;

Perkins, Warren B. ;

Warrick, Edmund .

JOURNAL OF HIGH ENERGY PHYSICS, 2009, (06)

[25] CALCULATION OF GRAVITON SCATTERING-AMPLITUDES USING STRING-BASED METHODS [J].

DUNBAR, DC ;

NORRIDGE, PS .

NUCLEAR PHYSICS B, 1995, 433 (01) :181-206

[26] Infinities within graviton scattering amplitudes [J].

Dunbar, DC ;

Norridge, PS .

CLASSICAL AND QUANTUM GRAVITY, 1997, 14 (02) :351-365

[27]

Eden R. J., 1966, ANAL S MATRIX

[28] Direct extraction of one-loop integral coefficients [J].

Forde, Darren .

PHYSICAL REVIEW D, 2007, 75 (12)

[29] N=4 YANG-MILLS AND N=8 SUPERGRAVITY AS LIMITS OF STRING THEORIES [J].

GREEN, MB ;

SCHWARZ, JH ;

BRINK, L .

NUCLEAR PHYSICS B, 1982, 198 (03) :474-492

[30] ONE-LOOP SCALAR FIELD CONTRIBUTIONS TO GRAVITON-GRAVITON SCATTERING AND HELICITY NON-CONSERVATION IN QUANTUM-GRAVITY [J].

GRISARU, MT ;

ZAK, J .

PHYSICS LETTERS B, 1980, 90 (03) :237-240

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