# $β'_{IR}$ at an Infrared Fixed Point in Chiral Gauge Theories

@article{Ryttov2018\_IRAA, title={\$$\beta$'\_\{IR\}\$ at an Infrared Fixed Point in Chiral Gauge Theories}, author={Thomas A. Ryttov and Robert Shrock}, journal={Physical Review D}, year={2018}, volume={97}, pages={016020} }

We present scheme-independent calculations of the derivative of the beta function, denoted $\beta'_{IR}$, at a conformally invariant infrared (IR) fixed point, in several asymptotically free chiral gauge theories, namely SO($4k+2$) with $2 \le k \le 4$ with respective numbers $N_f$ of fermions in the spinor representation, and E$_6$ with fermions in the fundamental representation.

## 6 Citations

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## References

SHOWING 1-10 OF 184 REFERENCES

### Infrared Zero of $\beta$ and Value of $\gamma_m$ for an SU(3) Gauge Theory at the Five-Loop Level

- Physics
- 2016

We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a…

### Higher-Order Scheme-Independent Calculations of Physical Quantities in the Conformal Phase of a Gauge Theory

- Physics
- 2017

We consider an asymptotically free vectorial SU($N_c$) gauge theory with $N_f$ massless fermions in a representation $R$, having an infrared fixed point (IRFP) of the renormalization group at…

### Fate of the conformal fixed point with twelve massless fermions and SU(3) gauge group

- Physics
- 2016

We report new results on the conformal properties of an important strongly coupled gauge theory, a building block of composite Higgs models beyond the Standard Model. With twelve massless fermions in…

### Renormalization-Group Evolution of Chiral Gauge Theories

- Physics
- 2015

We calculate the ultraviolet to infrared evolution and analyze possible types of infrared behavior for several asymptotically free chiral gauge theories with gauge group SU($N$) and massless chiral…

### Physics of the Non-Abelian Coulomb Phase: Insights from Padé approximants

- Mathematics, Physics
- 2017

We consider a vectorial, asymptotically free SU($N_c$) gauge theory with $N_f$ fermions in a representation $R$ having an infrared (IR) fixed point. We calculate and analyze Pad\'e approximants to…

### Infrared Fixed Point Physics in ${\rm SO}(N_c)$ and ${\rm Sp}(N_c)$ Gauge Theories

- Physics, Mathematics
- 2017

We study properties of asymptotically free vectorial gauge theories with gauge groups $G={\rm SO}(N_c)$ and $G={\rm Sp}(N_c)$ and $N_f$ fermions in a representation $R$ of $G$, at an infrared (IR)…

### Higher-loop structural properties of the β function in asymptotically free vectorial gauge theories

- Mathematics
- 2013

We investigate some higher-loop structural properties of the $\ensuremath{\beta}$ function in asymptotically free vectorial gauge theories. Our main focus is on theories with fermion contents that…

### Scheme-Independent Calculations of Physical Quantities in an ${\cal N}=1$ Supersymmetric Gauge Theory

- Physics
- 2017

We consider an asymptotically free, vectorial, ${\cal N}=1$ supersymmetric gauge theory with gauge group $G$ and $N_f$ pairs of chiral superfields in the respective representations ${\cal R}$ and…

### Ultraviolet to infrared evolution of chiral gauge theories

- Physics
- 2013

We discuss the ultraviolet (UV) to infrared (IR) evolution of asymptotically free chiral gauge theories. Various types of IR behavior are considered, including confinement without spontaneous chiral…