Renormalization Group Evolution from On-shell SMEFT - INSPIRE

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Renormalization Group Evolution from On-shell SMEFT

Minyuan Jiang
(
- Beijing, Inst. Theor. Phys.
)
,
Teng Ma
(
- Technion
)
,
Jing Shu
(
- Beijing, Inst. Theor. Phys. and
- Beijing, GUCAS and
- CAS, CEPP, Beijing and
- Peking U., CHEP and
- HIAS, UCAS, Hangzhou
)

May 20, 2020

19 pages

Published in:

JHEP 01 (2021) 101

Published: Jan 19, 2021

e-Print:

2005.10261 [hep-ph]

DOI:

10.1007/JHEP01(2021)101

View in:

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Abstract: (Springer)

We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 H

^{4}

D

^{4}

operators to the running of V

^{+}

V

^{−}

H

^{2}

operators, as well as the running of B

^{+}

B

^{−}

H

^{2}

D

^{2n}

from H

^{4}

D

^{2n+4}

for general n.

Note:

19 page, 2 figures

Effective Field Theories
Renormalization Group
Scattering Amplitudes
ultraviolet
renormalization group
bubble
effective field theory
anomalous dimension
exceptional
unitarity

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