IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM theory

被引：14

作者：

Naculich, Stephen G. ^{[1
]}

Schnitzer, Howard J. ^{[2
]}

机构：

[1] Bowdoin Coll, Dept Phys, Brunswick, ME 04011 USA

[2] Brandeis Univ, Theoret Phys Grp, Martin Fisher Sch Phys, Waltham, MA 02454 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2009年 / 10期

基金：

美国国家科学基金会;

关键词：

Supersymmetric gauge theory; Extended Supersymmetry; NLO Computations; 1/N Expansion; HEXAGON WILSON LOOP; JET CROSS-SECTIONS; YANG-MILLS; BEHAVIOR; SUPERGRAVITY;

D O I：

10.1088/1126-6708/2009/10/048

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We derive a compact all-loop-order expression for the IR-divergent part of the N = 4 SYM four-gluon amplitude, which includes both planar and all subleading-color contributions, based on the assumption that the higher-loop soft anomalous dimension matrices are proportional to the one-loop soft anomalous dimension matrix, as has been recently conjectured. We also consider the Regge limit of the four-gluon amplitude, and we present evidence that the leading logarithmic growth of the subleading-color amplitudes is less severe than that of the planar amplitudes. We examine possible 1/N-2 corrections to the gluon Regge trajectory, previously obtained in the planar limit from the BDS ansatz. The double-trace amplitudes have Regge behavior as well, with a nonsense-choosing Regge trajectory and a Regge cut which first emerges at three loops.

引用

页数：29

共 52 条

[11] BARTELS J, ARXIV08070894SPIRES
[12] On the structure of infrared singularities of gauge-theory amplitudes
Becher, Thomas
Neubert, Matthias
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2009, (06):
[13] Infrared Singularities of Scattering Amplitudes in Perturbative QCD
Becher, Thomas
Neubert, Matthias
[J]. PHYSICAL REVIEW LETTERS, 2009, 102 (16)
[14] Manifest ultraviolet behavior for the three-loop four-point amplitude of N=8 supergravity
Bern, Z.
Carrasco, J. J. M.
Dixon, L. J.
Johansson, H.
Roiban, R.
[J]. PHYSICAL REVIEW D, 2008, 78 (10):
[15] Two-loop six-gluon maximally helicity violating amplitude in maximally supersymmetric Yang-Mills theory
Bern, Z.
Dixon, L. J.
Kosower, D. A.
Roiban, R.
Spradlin, M.
Vergu, C.
Volovich, A.
[J]. PHYSICAL REVIEW D, 2008, 78 (04):
[16] Two-loop four-gluon amplitudes in N=4 super-Yang-Mills
Bern, Z
Rozowsky, JS
Yan, B
[J]. PHYSICS LETTERS B, 1997, 401 (3-4) : 273 - 282
[17] DIMENSIONALLY-REGULATED PENTAGON INTEGRALS
BERN, Z
DIXON, L
KOSOWER, DA
[J]. NUCLEAR PHYSICS B, 1994, 412 (03) : 751 - 816
[18] The infrared behavior of one-loop gluon amplitudes at next-to-next-to-leading order
Bern, Z
Del Duca, V
Schmidt, CR
[J]. PHYSICS LETTERS B, 1998, 445 (1-2) : 168 - 177
[19] Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
Bern, Z
Dixon, LJ
Smirnov, VA
[J]. PHYSICAL REVIEW D, 2005, 72 (08)
[20] Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory
Bern, Zvi
Czakon, Michael
Dixon, Lance J.
Kosower, David A.
Smirnov, Vladimir A.
[J]. PHYSICAL REVIEW D, 2007, 75 (08):

← 1 2 3 4 5 6 →