TY - JOUR

T1 - Mixed heavy–light matching in the Universal One-Loop Effective Action

AU - Ellis, Sebastian A R

AU - Quevillon, Jérémie

AU - You, Tevong

AU - Zhang, Zhengkang

PY - 2016/9/14

Y1 - 2016/9/14

N2 - Recently, a general result for evaluating the path integral at one loop was obtained in the form of the Universal One-Loop Effective Action. It may be used to derive effective field theory operators of dimensions up to six, by evaluating the traces of matrices in this expression, with the mass dependence encapsulated in the universal coefficients. Here we show that it can account for loops of mixed heavy–light particles in the matching procedure. Our prescription for computing these mixed contributions to the Wilson coefficients is conceptually simple. Moreover it has the advantage of maintaining the universal structure of the effective action, which we illustrate using the example of integrating out a heavy electroweak triplet scalar coupling to a light Higgs doublet. Finally we also identify new structures that were previously neglected in the universal results.

AB - Recently, a general result for evaluating the path integral at one loop was obtained in the form of the Universal One-Loop Effective Action. It may be used to derive effective field theory operators of dimensions up to six, by evaluating the traces of matrices in this expression, with the mass dependence encapsulated in the universal coefficients. Here we show that it can account for loops of mixed heavy–light particles in the matching procedure. Our prescription for computing these mixed contributions to the Wilson coefficients is conceptually simple. Moreover it has the advantage of maintaining the universal structure of the effective action, which we illustrate using the example of integrating out a heavy electroweak triplet scalar coupling to a light Higgs doublet. Finally we also identify new structures that were previously neglected in the universal results.

UR - http://www.scopus.com/inward/record.url?scp=84988666916&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2016.09.016

DO - 10.1016/j.physletb.2016.09.016

M3 - Article

AN - SCOPUS:84988666916

SN - 0370-2693

VL - 762

SP - 166

EP - 176

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -