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Title: Holomorphy without supersymmetry in the Standard Model Effective Field Theory

Abstract

The anomalous dimensions of dimension-six operators in the Standard Model Effective Field Theory (SMEFT) respect holomorphy to a large extent. Holomorphy conditions are reminiscent of supersymmetry, even though the SMEFT is not a supersymmetric theory.

Authors:
 [1];  [1];  [1]
  1. Univ. of California, San Diego, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1197960
Alternate Identifier(s):
OSTI ID: 1454835
Grant/Contract Number:  
SC0009919
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 739 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Alonso, Rodrigo, Jenkins, Elizabeth E., and Manohar, Aneesh V.. Holomorphy without supersymmetry in the Standard Model Effective Field Theory. Netherlands: N. p., 2014. Web. doi:10.1016/j.physletb.2014.10.045.
Alonso, Rodrigo, Jenkins, Elizabeth E., & Manohar, Aneesh V.. Holomorphy without supersymmetry in the Standard Model Effective Field Theory. Netherlands. https://doi.org/10.1016/j.physletb.2014.10.045
Alonso, Rodrigo, Jenkins, Elizabeth E., and Manohar, Aneesh V.. Fri . "Holomorphy without supersymmetry in the Standard Model Effective Field Theory". Netherlands. https://doi.org/10.1016/j.physletb.2014.10.045.
@article{osti_1197960,
title = {Holomorphy without supersymmetry in the Standard Model Effective Field Theory},
author = {Alonso, Rodrigo and Jenkins, Elizabeth E. and Manohar, Aneesh V.},
abstractNote = {The anomalous dimensions of dimension-six operators in the Standard Model Effective Field Theory (SMEFT) respect holomorphy to a large extent. Holomorphy conditions are reminiscent of supersymmetry, even though the SMEFT is not a supersymmetric theory.},
doi = {10.1016/j.physletb.2014.10.045},
journal = {Physics Letters B},
number = C,
volume = 739,
place = {Netherlands},
year = {Fri Dec 12 00:00:00 EST 2014},
month = {Fri Dec 12 00:00:00 EST 2014}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2014.10.045

Citation Metrics:
Cited by: 50 works
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Figures / Tables:

Table 1 Table 1: Form of the one-loop anomalous dimension matrix as defined in Eqs. (10), (11) for d = 6 operators. Y is a Yukawa coupling. The first 4 rows and columns involve holomorphic operators, and the rest involve non-holomorphic operators. The RGE for the rows can depend on the Cmore » of each column, or their conjugates. Entries which must vanish by NDA are denoted by 0, those for which there is no one-loop diagram (after taking equations of motion into account) are denoted by $ \not\exists$, and those which vanish by explicit computation are denoted by → 0. Entries with h are non-zero, and satisfy holomorphy, i.e. they depend on C but not C∗ . Entries with hF satisfy holomorphy because anti-holomorphic contributions are forbidden by NDA and flavor symmetry. Entries with a ∗ are non-zero. Entries with $\not{h}$w, $\not{h}$s violate weak and strong holomorphy, respectively. The notation $\not{h}$w : Y$^†_u$Y$^†_{e,d}$ , etc., means that the holomorphy violation is proportional to the product Y$^†_u$Y$^†_{e,d}$ of Yukawa couplings.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.