Research outputs
2026
Asymptotic Padé predictions up to six loops in QCD and eight loops in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>λ</mml:mi> <mml:msup> <mml:mi>ϕ</mml:mi> <mml:mn>4</mml:mn> </mml:msup> </mml:math>
Gracey, J. A., Jack, I., & Jones, D. R. T. (2026). Asymptotic Padé predictions up to six loops in QCD and eight loops in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>λ</mml:mi> <mml:msup> <mml:mi>ϕ</mml:mi> <mml:mn>4</mml:mn> </mml:msup> </mml:math>. Physical Review D, 113(9). doi:10.1103/vzzh-vbjb
2024
Explorations in scalar fermion theories: β-functions, supersymmetry and fixed points
Jack, I., Osborn, H., & Steudtner, T. (2024). Explorations in scalar fermion theories: β-functions, supersymmetry and fixed points. Journal of High Energy Physics, 2024(2). doi:10.1007/jhep02(2024)038
2022
Scaling dimensions at large charge for cubic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> theory in six dimensions
Jack, I., & Jones, D. R. T. (2022). Scaling dimensions at large charge for cubic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ϕ</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> theory in six dimensions. Physical Review D, 105(4). doi:10.1103/physrevd.105.045021
2021
Anomalous dimensions at large charge for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> theory in three and four dimensions
Jack, I., & Jones, D. R. T. (2021). Anomalous dimensions at large charge for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>×</mml:mo><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> theory in three and four dimensions. Physical Review D, 104(10). doi:10.1103/physrevd.104.105017
Anomalous dimensions at large charge in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> theory
Jack, I., & Jones, D. R. T. (2021). Anomalous dimensions at large charge in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> theory. Physical Review D, 103(8). doi:10.1103/physrevd.103.085013
2020
Anomalous dimensions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>ϕ</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> in scale invariant <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:math> theory
Jack, I., & Jones, D. R. T. (2020). Anomalous dimensions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>ϕ</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> in scale invariant <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:math> theory. Physical Review D, 102(8). doi:10.1103/physrevd.102.085012
2018
Scheme invariants in φ^4 theory in four dimensions
Jack, D. I., & Poole, C. (2018). Scheme invariants in φ^4 theory in four dimensions. Physical Review D (Particles, Fields, Gravitation and Cosmology), 98(6). doi:10.1103/PhysRevD.98.065011
2017
a-function in three dimensions: Beyond the leading order
Jack, I., & Poole, C. (2017). <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>a</mml:mi></mml:math>-function in three dimensions: Beyond the leading order. Physical Review D, 95(2). doi:10.1103/physrevd.95.025010
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>a</mml:mi></mml:math> -function for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> supersymmetric gauge theories in three dimensions
Gracey, J. A., Jack, I., Poole, C., & Schröder, Y. (2017). <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>a</mml:mi></mml:math>-function for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> supersymmetric gauge theories in three dimensions. Physical Review D, 95(2). doi:10.1103/physrevd.95.025005
2016
The a-function in six dimensions
Gracey, J. A., Jack, I., & Poole, C. (2016). The a-function in six dimensions. Journal of High Energy Physics, 2016(1). doi:10.1007/jhep01(2016)174
2015
Gradient flows in three dimensions
Jack, I., Jones, T., & Poole, C. (2015). Gradient flows in three dimensions. Journal of High Energy Physics, 2015(09). doi:10.1007/JHEP09(2015)061
The a-function for gauge theories
Jack, I., & Poole, C. (2015). The a-function for gauge theories. Journal of High Energy Physics, 2015. doi:10.1007/JHEP01(2015)138
2014
Constraints on RG flow for four dimensional quantum field theories
Jack, I., & Osborn, H. (2014). Constraints on RG flow for four dimensional quantum field theories. Nuclear Physics B, 883, 425-500. doi:10.1016/j.nuclphysb.2014.03.018
2013
Superconformal Chern-Simons theories beyond leading order
Jack, I., & Luckhurst, C. (2013). Superconformal Chern-Simons theories beyond leading order. Journal of High Energy Physics, 2013(12). doi:10.1007/jhep12(2013)078
2011
Exact β-functions in softly-broken $ \mathcal{N} = 2 $ Chern-Simons matter theories
Jack, I., & Luckhurst, C. (2011). Exact β-functions in softly-broken $ \mathcal{N} = 2 $ Chern-Simons matter theories. Journal of High Energy Physics, 2011(3). doi:10.1007/jhep03(2011)076
Renormalisation of the non-anticommutativity parameter at two loops
Jack, I., & Purdy, R. (2011). Renormalisation of the non-anticommutativity parameter at two loops. Journal of High Energy Physics, 2011(1). doi:10.1007/jhep01(2011)052
2010
Regularisation of Supersymmetric Theories
Jack, I., & Jones, D. R. T. (2010). Regularisation of Supersymmetric Theories. In Advanced Series on Directions in High Energy Physics (pp. 494-513). WORLD SCIENTIFIC. doi:10.1142/9789814307505_0013
2009
The non-anticommutative supersymmetric U<sub>1</sub>gauge theory
Jack, I., Jones, D. R. T., & Purdy, R. (2009). The non-anticommutative supersymmetric U<sub>1</sub>gauge theory. Journal of High Energy Physics, 2009(04), 028. doi:10.1088/1126-6708/2009/04/028
The non-anticommutative supersymmetric Wess-Zumino model
Jack, I., Jones, D. R. T., & Purdy, R. (2009). The non-anticommutative supersymmetric Wess-Zumino model. Journal of High Energy Physics, 2009(02), 019. doi:10.1088/1126-6708/2009/02/019
A renormalisable non-anticommutative supersymmetric SU(<i>N</i>)⊗U(1) gauge theory in components
Jack, I., Jones, D. R. T., & Purdy, R. (2009). A renormalisable non-anticommutative supersymmetric SU(<i>N</i>)⊗U(1) gauge theory in components. Journal of High Energy Physics, 2009(11), 098. doi:10.1088/1126-6708/2009/11/098
2008
One-loop divergences in the two-dimensional non-anticommutative supersymmetric σ-model
Jack, I., & Purdy, R. (2008). One-loop divergences in the two-dimensional non-anticommutative supersymmetric σ-model. Journal of High Energy Physics, 2008(05), 104. doi:10.1088/1126-6708/2008/05/104
2007
Renormalisation of N = 12 Supersymmetry
Jack, I., Jones, D. R. T., Purdy, R., Worthy, L., Rajantie, A., Contaldi, C., . . . Stoica, H. (2007). Renormalisation of N = 12 Supersymmetry. In AIP Conference Proceedings Vol. 957 (pp. 321-324). AIP. doi:10.1063/1.2823792
Anomaly mediation, Fayet-Iliopoulos<i>D</i>-terms and the renormalisation group
Hodgson, R., Jack, I., & Jones, D. R. T. (2007). Anomaly mediation, Fayet-Iliopoulos<i>D</i>-terms and the renormalisation group. Journal of High Energy Physics, 2007(10), 070. doi:10.1088/1126-6708/2007/10/070
One-loop renormalisation of N = 1/2 supersymmetric gauge theory with a superpotential
Jack, I., Jones, D. R. T., & Worthy, L. A. (2007). One-loop renormalisation of N = 1/2 supersymmetric gauge theory with a superpotential. Physical Review, D75(045014), 26. Retrieved from http://link.aps.org/abstract/PRD/v75/e045014
The four-loop DRED gauge β-function and fermion mass anomalous dimension for general gauge groups
Jack, I., Jones, D. R. T., Kant, P., & Mihaila, L. (2007). The four-loop DRED gauge β-function and fermion mass anomalous dimension for general gauge groups. Journal of High Energy Physics, 2007(09), 058. doi:10.1088/1126-6708/2007/09/058
2006
Supersymmetry parameter analysis: SPA convention and project
Aguilar-Saavedra, J. A., Ali, A., Allanach, B. C., Arnowitt, R., Baer, H. A., Bagger, J. A., . . . Zhu, S. -H. (2006). Supersymmetry parameter analysis: SPA convention and project. The European Physical Journal C, 46(1), 43-60. doi:10.1140/epjc/s2005-02460-1
Two-loop β-functions and their effects for the R-parity violating MSSM
Jack, I., Jones, D. R. T., & Kord, A. F. (2006). Two-loop β-functions and their effects for the R-parity violating MSSM. Physics Letters B, 632(5-6), 703-709. doi:10.1016/j.physletb.2005.11.030
2005
Anomaly mediation, Fayet–Iliopoulos D-terms and precision sparticle spectra
Hodgson, R., Jack, I., Jones, D. R. T., & Ross, G. G. (2005). Anomaly mediation, Fayet–Iliopoulos D-terms and precision sparticle spectra. Nuclear Physics B, 728(1-3), 192-206. doi:10.1016/j.nuclphysb.2005.09.013
One-loop renormalization of general<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>supersymmetric gauge theory
Jack, I., Jones, D. R. T., & Worthy, L. A. (2005). One-loop renormalization of general<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>supersymmetric gauge theory. Physical Review D, 72(6). doi:10.1103/physrevd.72.065002
One-loop renormalisation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:math> supersymmetric gauge theory
Jack, I., Jones, D. R. T., & Worthy, L. A. (2005). One-loop renormalisation of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>2</mml:mn></mml:math> supersymmetric gauge theory. Physics Letters B, 611(1-2), 199-206. doi:10.1016/j.physletb.2005.01.086
Snowmass benchmark points and three-loop running
Jack, I., Jones, D. R. T., & Kord, A. F. (2005). Snowmass benchmark points and three-loop running. Annals of Physics, 316(1), 213-233. doi:10.1016/j.aop.2004.08.007
Precision calculation of mass spectra in the MSSM
Jack, I., Jones, D. R. T., & Kord, A. F. (2005). Precision calculation of mass spectra in the MSSM. In G. Alverson, E. Barberis, P. Nath, & M. T. Vaughn (Eds.), PASCOS 2004 (pp. 424-433). Boston: World Scientific.
`One-loop renormalisation of N=1/2 supersymmetric gauge theory'
Jack, I., Jones, D. R. T., & Worthy, L. A. (2005). `One-loop renormalisation of N=1/2 supersymmetric gauge theory'. Physics Letters, B611, 199-206.
`Renormalisation of supersymmetric gauge theory in the uneliminated component formalism'
Jack, I., Jones, D. R. T., & Worthy, L. A. (2005). `Renormalisation of supersymmetric gauge theory in the uneliminated component formalism'. Physical Review, D72(107701), 4.
2004
Supersymmetric β-functions, Benchmark Points and Soft R-parity Violation
Jack, I., Jones, D. R. T., & Kord, A. F. (2004). Supersymmetric β-functions, Benchmark Points and Soft R-parity Violation. In Nuclear Physics B - Proceedings Supplements Vol. 135 (pp. 300-304). Elsevier BV. doi:10.1016/j.nuclphysbps.2004.09.033
R-parity violation and general soft supersymmetry breaking
Jack, I., Jones, D. R. T., & Kord, A. F. (2004). R-parity violation and general soft supersymmetry breaking. Physics Letters B, 588(1-2), 127-135. doi:10.1016/j.physletb.2004.03.024
Three loop soft running, benchmark points and semi-perturbative unification
Jack, I., Jones, D. R. T., & Kord, A. F. (2004). Three loop soft running, benchmark points and semi-perturbative unification. Physics Letters B, 579(1-2), 180-188. doi:10.1016/j.physletb.2003.10.083
`Yukawa textures and the mu term'
Jack, I., Jones, D. R. T., & Wild, R. (2004). `Yukawa textures and the mu term'. Physics Letters, B580(1-2), 72-78. doi:10.1016/j.physletb.2003.11.027
2002
`Fayet-Iliopoulos D-terms, neutrino masses and anomaly-mediated supersymmetry breaking'
Jack, I., Jones, D. R. T., & Wild, R. (2002). `Fayet-Iliopoulos D-terms, neutrino masses and anomaly-mediated supersymmetry breaking'. Physics Letters, B535(1-4), 193-200.
2001
Ultra-violet finiteness in noncommutative supersymmetric theories
Jack, I., & Jones, D. R. T. (2001). Ultra-violet finiteness in noncommutative supersymmetric theories. New Journal of Physics, 3, 19. doi:10.1088/1367-2630/3/1/319
Ultraviolet finite noncommutative theories
Jack, I., & Jones, D. R. T. (2001). Ultraviolet finite noncommutative theories. Physics Letters B, 514(3-4), 401-406. doi:10.1016/s0370-2693(01)00824-3
2000
Supersymmetric dark matter in the light of CERN LEP and the Fermilab Tevatron collider
Ellis, J., Falk, T., Ganis, G., & Olive, K. (2000). Supersymmetric dark matter in the light of CERN LEP and the Fermilab Tevatron collider. Physical Review D, 62(7). doi:10.1103/physrevd.62.075010