Operator Basis and RGEs of the SMEFT LNV Operators

by Di Zhang

Friday 13 Jun 2025, 14:00 → 15:00 Asia/Shanghai

Tsung-Dao Lee Institute/N4F-N400 - meeting room (Tsung-Dao Lee Institute)

Abstract： In this talk, a new physical basis and a Green’s basis for dimension-seven (dim-7) operators are proposed, which are suitable for the matching of ultraviolet models onto the Standard Model Effective Field Theory (SMEFT) and the deviation of renormalization group equations (RGEs) for the SMEFT dim-7 operators. The reduction relations to convert operators in the Green’s basis to those in the physical basis are achieved as well, where some redundant dim-6 operators in the Green’s basis are involved if the dim-5 operator exists. Working in these two bases, we work out the one-loop RGEs resulting from the mixing among different dimensional operators for the SMEFT dim-7 operators for the first time, and also revisit those from the mixing among dim-7 operators. These results complete the full one-loop RGEs of dim-7 operators and can be used for a consistent one-loop analysis of the SMEFT. On the other hand, we accomplish the full two-loop RGE of the dim-5 Weinberg operator and discuss its effects on the initially massless neutrino.

 

Biography：Di Zhang is a Postdoctoral Researcher (Humboldt Fellow) at the Technical University of Munich. He received his Bachelor's degree from the Central China Normal University in 2017 and his Ph.D. from the Institute of High Energy Physics, Chinese Academy of Sciences in 2022. His research focuses on neutrino physics and effective field theory, with current interests in neutrino mass and flavor mixing, Standard Model Effective Field Theory, and renormalization group equations. He has published 24 peer-reviewed articles, including 8 single-authored papers, in journals such as JHEP, PRD, and PLB.

 

Tencent Meeting ID: 212921585

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