Renormalization group coefficients and the S-matrix

TY - JOUR

T1 - Renormalization group coefficients and the S-matrix

AU - Caron Huot, Simon

AU - Wilhelm, Matthias

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We show how to use on-shell unitarity methods to calculate renormalisation group coefficients such as beta functions and anomalous dimensions. The central objects are the form factors of composite operators. Their discontinuities can be calculated via phase-space integrals and are related to corresponding anomalous dimensions. In particular, we find that the dilatation operator, which measures the anomalous dimensions, is given by minus the phase of the S-matrix divided by π. We illustrate our method using several examples from Yang-Mills theory, perturbative QCD and Yukawa theory at one-loop level and beyond.

AB - We show how to use on-shell unitarity methods to calculate renormalisation group coefficients such as beta functions and anomalous dimensions. The central objects are the form factors of composite operators. Their discontinuities can be calculated via phase-space integrals and are related to corresponding anomalous dimensions. In particular, we find that the dilatation operator, which measures the anomalous dimensions, is given by minus the phase of the S-matrix divided by π. We illustrate our method using several examples from Yang-Mills theory, perturbative QCD and Yukawa theory at one-loop level and beyond.

U2 - 10.1007/JHEP12(2016)010

DO - 10.1007/JHEP12(2016)010

M3 - Journal article

SN - 1126-6708

VL - 2016

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 12

M1 - 010

ER -