Momentum shift and on-shell constructible massive amplitudes - INSPIRE

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Momentum shift and on-shell constructible massive amplitudes

Yohei Ema
(
- Minnesota U. and
- Minnesota U., Theor. Phys. Inst.
)
,
Ting Gao
(
- Minnesota U.
)
,
Wenqi Ke
(
- Minnesota U. and
- Minnesota U., Theor. Phys. Inst.
)
,
Zhen Liu
(
- Minnesota U.
)
,
Kun-Feng Lyu
(
- Minnesota U.
)

Mar 22, 2024

26 pages

Published in:

Phys.Rev.D 110 (2024) 10, 105003

Published: Nov 7, 2024

e-Print:

2403.15538 [hep-ph]

DOI:

10.1103/PhysRevD.110.105003 (publication)

Report number:

UMN-TH-4316/24,
FTPI-MINN-24-07

View in:

ADS Abstract Service

reference search8 citations

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Abstract: (APS)

We construct tree-level amplitude for massive particles using on-shell recursion relations based on two classes of momentum shifts: an all-line transverse shift that deforms momentum by its transverse polarization vector, and a massive Britto-Cachazo-Feng-Witten-type shift. We illustrate that these shifts allow us to correctly calculate four-point and five-point amplitudes in massive QED, without an ambiguity associated with the contact terms that may arise from a simple “gluing” of lower-point on-shell amplitudes. We discuss various aspects and applicability of the two shifts, including the large-

z

behavior and complexity scaling. We show that there exists a “good” all-line transverse shift for all possible little group configurations of the external particles, which can be extended to a broader class of theories with massive particles such as massive QCD and theories with massive spin-1 particles. The massive Britto-Cachazo-Feng-Witten-type shift enjoys more simplicity, but a “good” shift does not exist for all the spin states due to the specific choice of spin axis.

Note:

26 pages, 1 figure and comments are welcome

particle: massive
polarization: vector
polarization: transverse
quantum electrodynamics: massive
spin
scaling
quantum chromodynamics
tree approximation
spinor
scattering amplitude

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Figures(1)

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