TY  - JOUR
AU  - Dalla Brida, Mattia
AU  - Sint, Stefan Michael
AU  - Vilaseca, Pol
TI  - The chirally rotated Schrödinger functional: theoretical expectations and perturbative tests
JO  - Journal of high energy physics
VL  - 2016
IS  - 8
SN  - 1029-8479
CY  - Berlin
PB  - Springer
M1  - PUBDB-2016-03991
M1  - DESY-16-040
M1  - TCDMATH-16-02
SP  - 102
PY  - 2016
AB  - The chirally rotated Schrödinger functional (<sub>χ</sub>SF) with massless Wilson-type fermions provides an alternative lattice regularization of the Schrödinger functional (SF), with different lattice symmetries and a common continuum limit expected from universality.The explicit breaking of flavour and parity symmetries needs to be repaired by tuning the bare fermion mass and the coefficient of a dimension 3 boundary counterterm.  Once this is achieved one expects the mechanism of automatic O(a) improvement to be operational in the <sub>χ</sub>SF, in contrast to the standard formulation of the SF. This is expected to significantly improve  the  attainable  precision  for  step-scaling  functions  of some  composite  operators. Furthermore, the <sub>χ</sub>SF offers new strategies to determine finite renormalization constants which  are  traditionally  obtained  from  chiral  Ward  identities.   In  this  paper  we  consider a  complete  set  of  fermion  bilinear  operators,  define  corresponding  correlation  functions and explain the relation to their standard SF counterparts.  We discuss renormalization and O(a) improvement and then use this set-up to formulate the theoretical expectations which follow from universality.  Expanding the correlation functions to one-loop order of perturbation theory we then perform a number of non-trivial checks.  In the process we obtain  the  action  counterterm  coefficients  to  one-loop  order  and  reproduce  some  known perturbative results for renormalization constants of fermion bilinears.  By conforming thetheoretical expectations, this perturbative study lends further support to the soundness of the <sub>χ</sub>SF framework and prepares the ground for non-perturbative applications.
LB  - PUB:(DE-HGF)29 ; PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000382135700003
DO  - DOI:10.1007/JHEP08(2016)102
UR  - https://bib-pubdb1.desy.de/record/309811
ER  -