Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sum Rules in the Standard Model Effective Field Theory from Helicity
  Amplitudes   The dispersion relation of an elastic 4-point amplitude in the forward
direction leads to a sum rule that connects the low energy amplitude to the
high energy observables. We perform a classification of these sum rules based
on massless helicity amplitudes. With this classification, we are able to
systematically write down the sum rules for the dimension-6 operators of the
Standard Model Effective Field Theory (SMEFT), some of which are absent in
previous literatures. These sum rules offer distinct insights on the relations
between the operator coefficients in the EFT and the properties of the full
theory that generates them. Their applicability goes beyond tree level, and in
some cases can be used as a practical method of computing the one loop
contributions to low energy observables. They also provide an interesting
perspective for understanding the custodial symmetries of the SM Higgs and
fermion sectors.

33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an