The constructive method for massive particles in QED - INSPIRE

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The constructive method for massive particles in QED

Hsing-Yi Lai
(
- UC, Davis, QMAP
)
,
Da Liu
(
- UC, Davis, QMAP and
- U. Pittsburgh (main)
)
,
John Terning
(
- UC, Davis, QMAP
)

Dec 18, 2023

16 pages

Published in:

JHEP 06 (2024) 086

Published: Jun 14, 2024

e-Print:

2312.11621 [hep-ph]

DOI:

10.1007/JHEP06(2024)086

View in:

ADS Abstract Service

reference search9 citations

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Abstract: (Springer)

The constructive method of determining amplitudes from on-shell pole structure has been shown to be promising for calculating amplitudes in a more efficient way. However, challenges have been encountered when a massless internal photon is involved in the gluing of three-point amplitudes with massive external particles. In this paper, we use the original on-shell method, old-fashioned perturbation theory, to shed light on the constructive method, and show that one can derive the Feynman amplitude by correctly identifying the residue even when there is an internal photon involved.

Note:

16 pages

Scattering Amplitudes
Effective Field Theories
particle: massive
constructive
photon
quantum electrodynamics
Feynman
pole
perturbation theory

References(25)

Figures(4)

[1]

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

[2]

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

[3]

What is the Simplest Quantum Field Theory?

- JHEP 09 (2010) 016
•
e-Print:
- 0808.1446
•
DOI:
- 10.1007/JHEP09(2010)016

[4]

A Duality For The S Matrix

- JHEP 03 (2010) 020
•
e-Print:
- 0907.5418
•
DOI:
- 10.1007/JHEP03(2010)020

[5]

Scattering Amplitudes

Henriette Elvang
(
- Michigan U., MCTP
)
,
Yu-tin Huang
(
- Michigan U., MCTP
)

e-Print:
- 1308.1697

[6]

The Amplituhedron

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

[7]

Effective Field Theories from Soft Limits of Scattering Amplitudes

- Phys.Rev.Lett. 114 (2015) 22, 221602
•
e-Print:
- 1412.4095
•
DOI:
- 10.1103/PhysRevLett.114.221602

[8]

On-Shell Methods in Perturbative QCD

- Annals Phys. 322 (2007) 1587-1634
•
e-Print:
- 0704.2798
•
DOI:
- 10.1016/j.aop.2007.04.014

[9]

An Automated Implementation of On-Shell Methods for One-Loop Amplitudes

C.F. Berger
(
- MIT and
- UC, Santa Barbara and
- SLAC
)
,
Z. Bern
(
- UCLA
)
,
L.J. Dixon
(
- SLAC
)
,
F. Febres Cordero
(
- UCLA
)
,
D. Forde
(
- SLAC and
- UCLA
)

et al.

- Phys.Rev.D 78 (2008) 036003
•
e-Print:
- 0803.4180
•
DOI:
- 10.1103/PhysRevD.78.036003

[10]

Nonrenormalization Theorems without Supersymmetry

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

- Phys.Rev.Lett. 115 (2015) 7, 071601
•
e-Print:
- 1505.01844
•
DOI:
- 10.1103/PhysRevLett.115.071601

[11]

Helicity selection rules and noninterference for BSM amplitudes

Aleksandr Azatov
(
- ICTP, Trieste
)
,
Roberto Contino
(
- ITPP, Lausanne and
- CERN
)
,
Camila S. Machado
(
- Sao Paulo, IFT and
- CERN
)
,
Francesco Riva
(
- CERN
)

- Phys.Rev.D 95 (2017) 6, 065014
•
e-Print:
- 1607.05236
•
DOI:
- 10.1103/PhysRevD.95.065014

[12]

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

[13]

Gauge invariance from on-shell massive amplitudes and tree-level unitarity

Da Liu
(
- UC, Davis, QMAP
)
,
Zhewei Yin
(
- Uppsala U.
)

- Phys.Rev.D 106 (2022) 7, 076003
•
e-Print:
- 2204.13119
•
DOI:
- 10.1103/PhysRevD.106.076003

[14]

The electroweak effective field theory from on-shell amplitudes

Gauthier Durieux
(
- Technion
)
,
Teppei Kitahara
(
- Technion and
- KMI, Nagoya
)
,
Yael Shadmi
(
- Technion
)
,
Yaniv Weiss
(
- Technion
)

- JHEP 01 (2020) 119
•
e-Print:
- 1909.10551
•
DOI:
- 10.1007/JHEP01(2020)119

[15]

On-shell Higgsing for EFTs

Reuven Balkin
(
- Technion
)
,
Gauthier Durieux
(
- CERN
)
,
Teppei Kitahara
(
- Nagoya U., ISEE and
- KMI, Nagoya
)
,
Yael Shadmi
(
- Technion
)
,
Yaniv Weiss
(
- Technion
)

- JHEP 03 (2022) 129
•
e-Print:
- 2112.09688
•
DOI:
- 10.1007/JHEP03(2022)129

[16]

An EFT hunter’s guide to two-to-two scattering: HEFT and SMEFT on-shell amplitudes

Hongkai Liu
(
- Technion
)
,
Teng Ma
(
- Technion and
- Barcelona, IFAE and
- BIST, Barcelona
)
,
Yael Shadmi
(
- Technion
)
,
Michael Waterbury
(
- Technion
)

- JHEP 05 (2023) 241
•
e-Print:
- 2301.11349
•
DOI:
- 10.1007/JHEP05(2023)241

[17]

Constructing generic effective field theory for all masses and spins

Zi-Yu Dong
(
)
,
Teng Ma
(
- Technion
)
,
Jing Shu
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS and
- HIAS, UCAS, Hangzhou and
- APCTP, Pohang
)
,
Yu-Hui Zheng
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS
)

- Phys.Rev.D 106 (2022) 11, 116010
•
e-Print:
- 2202.08350
•
DOI:
- 10.1103/PhysRevD.106.116010

[18]

Challenges with internal photons in constructive QED

Neil Christensen
(
- Illinois State U.
)
,
Harold Diaz-Quiroz
(
- Illinois State U.
)
,
Bryan Field
(
- Farmingdale State U.
)
,
Justin Hayward
(
- Illinois State U.
)
,
John Miles
(
- Illinois State U.
)

- Nucl.Phys.B 993 (2023) 116278
•
e-Print:
- 2209.15018
•
DOI:
- 10.1016/j.nuclphysb.2023.116278

[19]

Supersymmetry and supergravity

J. Wess
(
- Munich U.
)
,
J. Bagger
(
- Johns Hopkins U.
)

[20]

Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry

Herbi K. Dreiner
(
- Bonn U.
)
,
Howard E. Haber
(
- UC, Santa Cruz
)
,
Stephen P. Martin
(
- Northern Illinois U. and
- Fermilab
)

- Phys.Rept. 494 (2010) 1-196
•
e-Print:
- 0812.1594
•
DOI:
- 10.1016/j.physrep.2010.05.002

[21]

The Radiation theories of Tomonaga, Schwinger, and Feynman

F.J. Dyson
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev. 75 (1949) 486-502
•
DOI:
- 10.1103/PhysRev.75.486

[22]

Quantum Field Theory and the Standard Model

Matthew D. Schwartz
(
- Harvard U., Phys. Dept.
)

[23]

The Quantum theory of fields. Vol. 1: Foundations

Steven Weinberg
(
- Texas U.
)

•
DOI:
- 10.1017/CBO9781139644167

[24]

Recursion relations for gauge theory amplitudes with massive vector bosons and fermions

- JHEP 01 (2006) 066
•
e-Print:
- hep-th/0507161
•
DOI:
- 10.1088/1126-6708/2006/01/066

[25]

Two-, three-, and four-body decays in the constructive standard model

Neil Christensen
(
- Illinois State U.
)
,
Bryan Field
(
- Farmingdale State U.
)
,
Annie Moore
(
- Illinois State U.
)
,
Santiago Pinto
(
- Illinois State U.
)

- Phys.Rev.D 101 (2020) 6, 065019
•
e-Print:
- 1909.09164
•
DOI:
- 10.1103/PhysRevD.101.065019