Scattering amplitudes from generalized recursion - INSPIRE

DataBETA

Scattering amplitudes from generalized recursion

Arkajyoti Manna
(
- IMSc, Chennai
)

2022

140 pages

Supervisor:

Sujay K. Ashok
(
- IMSc, Chennai
)

Thesis: PhD

HBNI, Mumbai,
Institute of Mathematical Sciences, Chennai

(defense: 2022)

Published: 2022

reference search0 citations

Citations per year

0 Citations

Abstract: (IMSc, Chennai)

In last few decades, the S-matrix program of quantum field theory has witnessed a number of remarkable developments: a) the study of analytic structure of S-matrix has revealed strikingly new insights in our understanding of quantum field theory, b) on-shell techniques like Britto-Cachazo-Feng-Witten (BCFW) recursion relations and gen- eralised unitarity have enormously reduced the complexity of seemingly impossible computations which guided the next to leading order (NLO) revolution in Quantum Chro- modynamics (QCD) and have even been used to calculate classical observables such as potential that models the merger of binary black-holes up to high order in post Newtonian and post Minkowskian expansion. This thesis is devoted to the derivation of a new on-shell recursion scheme for computing scattering amplitudes in gauge theories in four spacetime dimensions, involving massive particles. The recursion relations are then used to calculate particular classes of amplitudes involving massive vector bosons in Higgsed Yang-Mills theories.

Quantum Field Theory
S-Matrix
gauge field theory: Yang-Mills
black hole: binary
space-time: dimension: 4
vector boson: massive
higher-order: 1
higher-order: 0
particle: massive
scattering amplitude

References(60)

Figures(0)

[1]

Gluonic Two Goes to Four

Stephen J. Parke
(
- Fermilab
)
,
T.R. Taylor
(
- Fermilab
)

- Nucl.Phys.B 269 (1986) 410-420
•
DOI:
- 10.1016/0550-3213(86)90230-0

[2]

An Amplitude for $n$ Gluon Scattering

Stephen J. Parke
(
- Fermilab
)
,
T.R. Taylor
(
- Fermilab
)

- Phys.Rev.Lett. 56 (1986) 2459
•
DOI:
- 10.1103/PhysRevLett.56.2459

[3]

A Note on Polytopes for Scattering Amplitudes

Nima Arkani-Hamed
(
- Princeton, Inst. Advanced Study
)
,
Jacob L. Bourjaily
(
- Princeton, Inst. Advanced Study and
- Princeton U.
)
,
Freddy Cachazo
(
- Perimeter Inst. Theor. Phys.
)
,
Andrew Hodges
(
- Oxford U.
)
,
Jaroslav Trnka
(
- Princeton, Inst. Advanced Study and
- Princeton U.
)

- JHEP 04 (2012) 081
•
e-Print:
- 1012.6030
•
DOI:
- 10.1007/JHEP04(2012)081

[4]

The Amplituhedron

- JHEP 10 (2014) 030
•
e-Print:
- 1312.2007
•
DOI:
- 10.1007/JHEP10(2014)030

[5]

Scattering equations and Kawai-Lewellen-Tye orthogonality

- Phys.Rev.D 90 (2014) 6, 065001
•
e-Print:
- 1306.6575
•
DOI:
- 10.1103/PhysRevD.90.065001

[6]

Scattering of Massless Particles: Scalars, Gluons and Gravitons

- JHEP 07 (2014) 033
•
e-Print:
- 1309.0885
•
DOI:
- 10.1007/JHEP07(2014)033

[7]

New recursion relations for tree amplitudes of gluons

- Nucl.Phys.B 715 (2005) 499-522
•
e-Print:
- hep-th/0412308
•
DOI:
- 10.1016/j.nuclphysb.2005.02.030

[8]

Direct proof of tree-level recursion relation in Yang-Mills theory

- Phys.Rev.Lett. 94 (2005) 181602
•
e-Print:
- hep-th/0501052
•
DOI:
- 10.1103/PhysRevLett.94.181602

[9]

Basics of Generalized Unitarity

Zvi Bern
(
- UCLA
)
,
Yu-tin Huang
(
- UCLA
)

- J.Phys.A 44 (2011) 454003
•
e-Print:
- 1103.1869
•
DOI:
- 10.1088/1751-8113/44/45/454003

[10]

Black Hole Binary Dynamics from the Double Copy and Effective Theory

Zvi Bern
(
- UCLA and
- CERN
)
,
Clifford Cheung
(
- Caltech, Pasadena (main)
)
,
Radu Roiban
(
- Penn State U., University Park, IGC
)
,
Chia-Hsien Shen
(
- UCLA
)
,
Mikhail P. Solon
(
- Caltech, Pasadena (main)
)

et al.

- JHEP 10 (2019) 206
•
e-Print:
- 1908.01493
•
DOI:
- 10.1007/JHEP10(2019)206

[11]

Scattering amplitudes for all masses and spins

Nima Arkani-Hamed
(
- Princeton, Inst. Advanced Study
)
,
Tzu-Chen Huang
(
- Caltech
)
,
Yu-tin Huang
(
- Taiwan, Natl. Taiwan U. and
- NCTS, Hsinchu
)

- JHEP 11 (2021) 070
•
e-Print:
- 1709.04891
•
DOI:
- 10.1007/JHEP11(2021)070

[12]

Recursion relations for gauge theory amplitudes with massive particles

S.D. Badger
(
- Durham U.
)
,
E.W.Nigel Glover
(
- Durham U.
)
,
V.V. Khoze
(
- Durham U.
)
,
P. Svrcek
(
- Princeton, Inst. Advanced Study
)

- JHEP 07 (2005) 025
•
e-Print:
- hep-th/0504159
•
DOI:
- 10.1088/1126-6708/2005/07/025

[13]

On-shell constructibility of Born amplitudes in spontaneously broken gauge theories

- JHEP 02 (2020) 073
•
e-Print:
- 1910.13407
•
DOI:
- 10.1007/JHEP02(2020)073

[14]

Recursion relations for scattering amplitudes with massive particles

Sourav Ballav
(
- HBNI, Mumbai
)
,
Arkajyoti Manna
(
- HBNI, Mumbai
)

- JHEP 03 (2021) 295
•
e-Print:
- 2010.14139
•
DOI:
- 10.1007/JHEP03(2021)295

[15]

New color decompositions for gauge amplitudes at tree and loop level

- Nucl.Phys.B 571 (2000) 51-70
•
e-Print:
- hep-ph/9910563
•
DOI:
- 10.1016/S0550-3213(99)00809-3

[16]

Calculating scattering amplitudes efficiently

Lance J. Dixon
(
- SLAC
)

•
e-Print:
- hep-ph/9601359

[17]

Color-Kinematics Duality for QCD Amplitudes

Henrik Johansson
(
- CERN and
- Uppsala U. and
- Nordita and
- Royal Inst. Tech., Stockholm and
- Stockholm U.
)
,
Alexander Ochirov
(
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)

- JHEP 01 (2016) 170
•
e-Print:
- 1507.00332
•
DOI:
- 10.1007/JHEP01(2016)170

[18]

Multi-Quark Colour Decompositions from Unitarity

Alexander Ochirov
(
- Zurich, ETH
)
,
Ben Page
(
- IPhT, Saclay
)

- JHEP 10 (2019) 058
•
e-Print:
- 1908.02695
•
DOI:
- 10.1007/JHEP10(2019)058

[19]

On Tree Amplitudes in Gauge Theory and Gravity

- JHEP 04 (2008) 076
•
e-Print:
- 0801.2385
•
DOI:
- 10.1088/1126-6708/2008/04/076

[20]

On-shell constructibility of tree amplitudes in general field theories

Timothy Cohen
(
- Michigan U., MCTP and
- Michigan U.
)
,
Henriette Elvang
(
)
,
Michael Kiermaier
(
- Princeton U.
)

- JHEP 04 (2011) 053
•
e-Print:
- 1010.0257
•
DOI:
- 10.1007/JHEP04(2011)053

[21]

Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons

Sourav Ballav
(
- IISER, Bhopal
)
,
Arkajyoti Manna
(
- IMSc, Chennai
)

- Nucl.Phys.B 983 (2022) 115935
•
e-Print:
- 2109.06546
•
DOI:
- 10.1016/j.nuclphysb.2022.115935

[22]

On-shell supersymmetry for massive multiplets

- Phys.Rev.D 84 (2011) 065006
•
e-Print:
- 1104.2280
•
DOI:
- 10.1103/PhysRevD.84.065006

[23]

Compact multigluonic scattering amplitudes with heavy scalars and fermions

Paola Ferrario
(
- Valencia U., IFIC
)
,
German Rodrigo
(
- Valencia U., IFIC
)
,
P. Talavera
(
- Barcelona, Polytechnic U.
)

- Phys.Rev.Lett. 96 (2006) 182001
•
e-Print:
- hep-th/0602043
•
DOI:
- 10.1103/PhysRevLett.96.182001

[24]

All tree-level amplitudes in massless QCD

Lance J. Dixon
(
- CERN and
- SLAC
)
,
Johannes M. Henn
(
- Humboldt U., Berlin
)
,
Jan Plefka
(
- Humboldt U., Berlin
)
,
Theodor Schuster
(
- Humboldt U., Berlin
)

- JHEP 01 (2011) 035
•
e-Print:
- 1010.3991
•
DOI:
- 10.1007/JHEP01(2011)035

[25]

and Y.-t. Huang, Scattering Amplitudes in Gauge Theory and Gravity. Cambridge University Press

H. Elvang

1-25 of 60
1
2
3
25 / page