Loops and trees in generic EFTs

Craig, Nathaniel; Jiang, Minyuan; Li, Ying-Ying; Sutherland, Dave

doi:10.1007/jhep08(2020)086

Title: Loops and trees in generic EFTs

Journal Article · Wed Aug 19 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2020)086· OSTI ID:1592139

^[1]; Jiang, Minyuan ^[2];

^[3]; Sutherland, Dave ^[4]

Univ. of California, Santa Barbara, CA (United States)
Chinese Academy of Sciences (CAS), Beijing (China); Univ. of California, Santa Barbara, CA (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Hong Kong Univ. of Science and Technology, Hong Kong Special Administrative Region (China)
Univ. of California, Santa Barbara, CA (United States); Istituto Nazionale di Fisica Nucleare (INFN) di Trieste (Italy)

We consider aspects of tree and one-loop behavior in a generic 4d EFT of massless scalars, fermions, and vectors, with a particular eye to the high-energy limit of the Standard Model EFT at operator dimensions 6 and 8. First, we classify the possible Lorentz structures of operators and the subset of these that can arise at tree-level in a weakly coupled UV completion, extending the tree/loop classification through dimension 8 using functional methods. Second, we investigate how operators contribute to tree and one-loop helicity amplitudes, exploring the impact of non-renormalization theorems through dimension 8. We further observe that many dimension 6 contributions to helicity amplitudes, including rational parts, vanish exactly at one-loop level. This suggests the impact of helicity selection rules extends beyond one loop in non-supersymmetric EFTs.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Natural Science Foundation of China (NSFC); European Union (EU); Kavli Institute for Theoretical Physics; National Science Foundation (NSF)

Grant/Contract Number:: AC02-07CH11359; SC0014129; 11761141011; NSF PHY-1748958

OSTI ID:: 1592139

Report Number(s):: arXiv:2001.00017; FERMILAB-PUB-19-646-T; oai:inspirehep.net:1773816; TRN: US2101849

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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