Two-loop supersymmetric QCD and half-maximal supergravity amplitudes - INSPIRE

DataBETA

Two-loop supersymmetric QCD and half-maximal supergravity amplitudes

Henrik Johansson
(
- Nordita and
- Royal Inst. Tech., Stockholm and
- Stockholm U. and
- Uppsala U.
)
,
Gregor Kälin
(
- Uppsala U.
)
,
Gustav Mogull
(
- Uppsala U. and
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)

Jun 28, 2017

54 pages

Published in:

JHEP 09 (2017) 019

Published: Sep 5, 2017

e-Print:

1706.09381 [hep-th]

DOI:

10.1007/JHEP09(2017)019

Report number:

UUITP-19-17,
NORDITA-2017-062,
EDINBURGH-2017-12,
UUITP-19-17-

View in:

reference search81 citations

Citations per year

Abstract: (Springer)

Using the duality between color and kinematics, we construct two-loop four-point scattering amplitudes in

\mathcal{N}=2

super-Yang-Mills (SYM) theory coupled to N

_{f}

fundamental hypermultiplets. Our results are valid in D ≤ 6 dimensions, where the upper bound corresponds to six-dimensional chiral

\mathcal{N}=\left(1,0\right)

SYM theory. By exploiting a close connection with

\mathcal{N}=4

SYM theory — and, equivalently, six-dimensional

\mathcal{N}=\left(1,1\right)

SYM theory — we find compact integrands with four-dimensional external vectors in both the maximally-helicity-violating (MHV) and all-chiral-vector sectors. Via the double-copy construction corresponding D-dimensional half-maximal supergravity amplitudes with external graviton multiplets are obtained in the MHV and all-chiral sectors. Appropriately tuning N

_{f}

enables us to consider both pure and matter-coupled supergravity, with arbitrary numbers of vector multiplets in D = 4. As a bonus, we obtain the integrands of the genuinely six-dimensional supergravities with

\mathcal{N}=\left(1,1\right)

and

\mathcal{N}=\left(2,0\right)

supersymmetry. Finally, we extract the potential ultraviolet divergence of half-maximal supergravity in D = 5 − 2ϵ and show that it non-trivially cancels out as expected.

Note:

53 pages, 5 figures, 1 table + appendices, ancillary files; v2 published version

Scattering Amplitudes
Supergravity Models
Supersymmetric Gauge Theory
Gauge Symmetry
quantum chromodynamics: supersymmetry
supersymmetry: 2
graviton: multiplet
supergravity
scattering amplitude
gravitation: duality

References(117)

Figures(38)

[1]

A Relation Between Tree Amplitudes of Closed and Open Strings

- Nucl.Phys.B 269 (1986) 1-23
•
DOI:
- 10.1016/0550-3213(86)90362-7

[2]

New Relations for Gauge-Theory Amplitudes

- Phys.Rev.D 78 (2008) 085011
•
e-Print:
- 0805.3993
•
DOI:
- 10.1103/PhysRevD.78.085011

[3]

Perturbative Quantum Gravity as a Double Copy of Gauge Theory

- Phys.Rev.Lett. 105 (2010) 061602
•
e-Print:
- 1004.0476
•
DOI:
- 10.1103/PhysRevLett.105.061602

[4]

One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity

John Joseph M. Carrasco
(
- Stanford U., Phys. Dept. and
- Stanford U., ITP
)
,
Marco Chiodaroli
(
- Penn State U.
)
,
Murat Günaydin
(
- Penn State U.
)
,
Radu Roiban
(
- Penn State U.
)

- JHEP 03 (2013) 056
•
e-Print:
- 1212.1146
•
DOI:
- 10.1007/JHEP03(2013)056

[5]

Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory

- JHEP 01 (2014) 152
•
e-Print:
- 1311.3600
•
DOI:
- 10.1007/JHEP01(2014)152

[6]

Pure Gravities via Color-Kinematics Duality for Fundamental Matter

Henrik Johansson
(
- CERN
)
,
Alexander Ochirov
(
- IPhT, Saclay
)

- JHEP 11 (2015) 046
•
e-Print:
- 1407.4772
•
DOI:
- 10.1007/JHEP11(2015)046

[7]

Scattering amplitudes in $\mathcal{N}=2$ Maxwell-Einstein and Yang-Mills/Einstein supergravity

Marco Chiodaroli
(
- Potsdam, Max Planck Inst.
)
,
Murat Günaydin
(
- Penn State U., University Park, IGC and
- Penn State U.
)
,
Henrik Johansson
(
- CERN
)
,
Radu Roiban
(
- Penn State U., University Park, IGC and
- Penn State U.
)

- JHEP 01 (2015) 081
•
e-Print:
- 1408.0764
•
DOI:
- 10.1007/JHEP01(2015)081

[8]

Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies

Marco Chiodaroli
(
- Potsdam, Max Planck Inst.
)
,
Murat Gunaydin
(
- Penn State U., University Park, IGC
)
,
Henrik Johansson
(
- Uppsala U. and
- CERN and
- Nordita
)
,
Radu Roiban
(
- Penn State U., University Park, IGC and
- Santa Barbara, KITP
)

- JHEP 06 (2017) 064
•
e-Print:
- 1511.01740
•
DOI:
- 10.1007/JHEP06(2017)064

[9]

Complete construction of magical, symmetric and homogeneous N=2 supergravities as double copies of gauge theories

Marco Chiodaroli
(
- Potsdam, Max Planck Inst.
)
,
Murat Gunaydin
(
- Penn State U.
)
,
Henrik Johansson
(
- Nordita and
- Royal Inst. Tech., Stockholm and
- Stockholm U. and
- Uppsala U.
)
,
Radu Roiban
(
- Penn State U.
)

- Phys.Rev.Lett. 117 (2016) 1, 011603
•
e-Print:
- 1512.09130
•
DOI:
- 10.1103/PhysRevLett.117.011603

[10]

Twin supergravities from Yang-Mills theory squared

A. Anastasiou
(
- Nordita and
- Stockholm U. (main)
)
,
L. Borsten
(
- Dublin Inst.
)
,
M.J. Duff
(
- Imperial Coll., London
)
,
M.J. Hughes
(
- Imperial Coll., London
)
,
A. Marrani
(
- Enrico Fermi Ctr., Rome and
- INFN, Padua and
- Padua U.
)

et al.

- Phys.Rev.D 96 (2017) 2, 026013
•
e-Print:
- 1610.07192
•
DOI:
- 10.1103/PhysRevD.96.026013

[11]

The Kinematic Algebra From the Self-Dual Sector

Ricardo Monteiro
(
- Copenhagen U.
)
,
Donal O'Connell
(
- Copenhagen U.
)

- JHEP 07 (2011) 007
•
e-Print:
- 1105.2565
•
DOI:
- 10.1007/JHEP07(2011)007

[12]

Symmetry for Flavor-Kinematics Duality from an Action

Clifford Cheung
(
- Caltech
)
,
Chia-Hsien Shen
(
- Caltech
)

- Phys.Rev.Lett. 118 (2017) 12, 121601
•
e-Print:
- 1612.00868
•
DOI:
- 10.1103/PhysRevLett.118.121601

[13]

Minimal Basis for Gauge Theory Amplitudes

N.E.J. Bjerrum-Bohr
(
- Bohr Inst.
)
,
Poul H. Damgaard
(
- Bohr Inst.
)
,
Pierre Vanhove
(
- IHES, Bures-sur-Yvette and
- Saclay, SPhT
)

- Phys.Rev.Lett. 103 (2009) 161602
•
e-Print:
- 0907.1425
•
DOI:
- 10.1103/PhysRevLett.103.161602

[14]

Open & Closed vs. Pure Open String Disk Amplitudes

S. Stieberger
(
- Munich, Max Planck Inst.
)

e-Print:
- 0907.2211

[15]

Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program

- Phys.Lett.B 695 (2011) 350-353
•
e-Print:
- 1004.3417
•
DOI:
- 10.1016/j.physletb.2010.11.011

[16]

A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory

Yi-Xin Chen
(
- Zhejiang U., Inst. Mod. Phys.
)
,
Yi-Jian Du
(
- Zhejiang U., Inst. Mod. Phys. and
- Beijing, KITPC
)
,
Bo Feng
(
- Hangzhou, Zhejiang U. and
- Beijing, Inst. Theor. Phys.
)

- JHEP 02 (2011) 112
•
e-Print:
- 1101.0009
•
DOI:
- 10.1007/JHEP02(2011)112

[17]

RNS derivation of N-point disk amplitudes from the revisited S-matrix approach

- Nucl.Phys.B 886 (2014) 870-951
•
e-Print:
- 1310.5942
•
DOI:
- 10.1016/j.nuclphysb.2014.07.015

[18]

Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity

- Phys.Rev.D 85 (2012) 025006
•
e-Print:
- 1106.4711
•
DOI:
- 10.1103/PhysRevD.85.025006

[19]

N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop

- Phys.Rev.D 84 (2011) 105035
•
e-Print:
- 1107.1935
•
DOI:
- 10.1103/PhysRevD.84.105035

[20]

Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes

Z. Bern
(
- UCLA and
- UC, Santa Barbara and
- CERN
)
,
J.J.M. Carrasco
(
)
,
L.J. Dixon
(
- CERN and
- SLAC
)
,
H. Johansson
(
- UC, Santa Barbara and
- Saclay, SPhT
)
,
R. Roiban
(
- UC, Santa Barbara and
- Penn State U.
)

- Phys.Rev.D 85 (2012) 105014
•
e-Print:
- 1201.5366
•
DOI:
- 10.1103/PhysRevD.85.105014

[21]

Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory

N. Emil J. Bjerrum-Bohr
(
- Bohr Inst.
)
,
Tristan Dennen
(
- Bohr Inst.
)
,
Ricardo Monteiro
(
- Bohr Inst.
)
,
Donal O'Connell
(
- Bohr Inst.
)

- JHEP 07 (2013) 092
•
e-Print:
- 1303.2913
•
DOI:
- 10.1007/JHEP07(2013)092

[22]

String-inspired BCJ numerators for one-loop MHV amplitudes

- JHEP 01 (2016) 171
•
e-Print:
- 1507.06288
•
DOI:
- 10.1007/JHEP01(2016)171

[23]

Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace

- JHEP 10 (2015) 124
•
e-Print:
- 1505.02746
•
DOI:
- 10.1007/JHEP10(2015)124

[24]

Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops

Zvi Bern
(
- Stanford U., Phys. Dept.
)
,
Scott Davies
(
- Stanford U., Phys. Dept.
)
,
Tristan Dennen
(
- Bohr Inst.
)
,
Yu-tin Huang
(
- Michigan U., MCTP
)
,
Josh Nohle
(
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 92 (2015) 4, 045041
•
e-Print:
- 1303.6605
•
DOI:
- 10.1103/PhysRevD.92.045041

[25]

Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter

Josh Nohle
(
- UCLA, Los Angeles (main)
)

- Phys.Rev.D 90 (2014) 2, 025020
•
e-Print:
- 1309.7416
•
DOI:
- 10.1103/PhysRevD.90.025020

1-25 of 117
1
2
3
4
5
25 / page