Changes between Version 6 and Version 7 of SMEFT_BGFM
- Timestamp:
- Nov 2, 2020, 11:16:06 AM (4 years ago)
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SMEFT_BGFM
v6 v7 17 17 18 18 == Description == 19 Following [https://arxiv.org/abs/1803.08001 arXiv:1803.08001] we implement the Standard Model Effective Field Theory (SMEFT) dimension six operators gauge fixed using the background field method (see e.g. [https://inspirehep.net/literature/166273 Abbott, Introduction to the Background Field Method]). The implementation of the model is elaborated in an upcoming publication, arXiv:2011:XXXXX, and is verified in both this paper and [https://arxiv.org/abs/2010.08451 arXiv:2010.08451] where the one-loop Ward identities are checked for UV divergent two-point functions and the Tadpole.19 Following [https://arxiv.org/abs/1803.08001 arXiv:1803.08001] we implement the Standard Model Effective Field Theory (SMEFT) dimension six operators gauge fixed using the background field method (see e.g. [https://inspirehep.net/literature/166273 Abbott, Introduction to the Background Field Method]). The implementation of the model is elaborated in [https://arxiv.org/pdf/2010.15852.pdf arXiv:2010.15852], and is verified in both this paper and [https://arxiv.org/abs/2010.08451 arXiv:2010.08451] where the one-loop Ward identities are checked for UV divergent two-point functions and the Tadpole. 20 20 21 21 22 The model includes all SMEFT operators at dimension six as well as dimension-eight operators of Classes 2, 3, and 4. Fermionic operators are introduced with no assumptions on flavor and the Yukawa operators and class 5 operators are diagonalized using standard rotations of the Left and Right-handed fermionic fields, resulting in meaningful goldstone-fermion couplings which also incorporate the CKM matrix for charged goldstone interactions. Another appeal of the model is that it incorporates field and mass redefinitions coming from the SMEFT to order 1/Lambda^4^. This is to the author's knowledge the only package incorporating these effects. As dimension-six-squared effects are frequently included in the literature without incorporating these redefinitions this tool provides an excellent opportunity to study the implications of incomplete calculations. This is discussed in the paper outlining the implementation, arxiv:2011:XXXXX.22 The model includes all SMEFT operators at dimension six as well as dimension-eight operators of Classes 2, 3, and 4. Fermionic operators are introduced with no assumptions on flavor and the Yukawa operators and class 5 operators are diagonalized using standard rotations of the Left and Right-handed fermionic fields, resulting in meaningful goldstone-fermion couplings which also incorporate the CKM matrix for charged goldstone interactions. Another appeal of the model is that it incorporates field and mass redefinitions coming from the SMEFT to order 1/Lambda^4^. This is to the author's knowledge the only package incorporating these effects. As dimension-six-squared effects are frequently included in the literature without incorporating these redefinitions this tool provides an excellent opportunity to study the implications of incomplete calculations. This is discussed in the paper outlining the implementation, [https://arxiv.org/pdf/2010.15852.pdf arXiv 2010.15852]. 23 23 24 24 … … 48 48 49 49 == References == 50 1. T. Corbett, The Feynman Rules for the SMEFT in the Background Field Gauge, arXiv:2011:XXXXX. [[BR]]50 1. T. Corbett, The Feynman Rules for the SMEFT in the Background Field Gauge, [https://arxiv.org/pdf/2010.15852.pdf arXiv:2010.15852]. [[BR]] 51 51 Paper introducing the model and its implementation as well as verifying the SMEFT Class 2, 3, and 4 operator squared contributions to the SMEFT Ward Identities. 52 52