Nonperturbative β function of twelve-flavor SU(3) gauge theory

Hasenfratz, Anna; Schaich, David

doi:10.1007/jhep02(2018)132

Title: Nonperturbative β function of twelve-flavor SU(3) gauge theory

Journal Article · Wed Feb 21 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2018)132· OSTI ID:1505130

Hasenfratz, Anna ^[1];

^[2]

Univ. of Colorado, Boulder, CO (United States). Dept. of Physics
Syracuse Univ., NY (United States). Dept. of Physics; Univ. of Bern (Switzerland). AEC Inst. for Theoretical Physics

We study the discrete β function of SU(3) gauge theory with N _f = 12 massless fermions in the fundamental representation. Using an nHYP-smeared staggered lattice action and an improved gradient flow running coupling ${\tilde{g}}_{c}^{2} (L)$ we determine the continuum-extrapolated discrete β function up to g _c ² ≈ 8.2. We observe an IR fixed point at g _* ² = 7.3(_-2 ^{+ 8} ) in the $c = \sqrt{8 t} / L = 0.25$ scheme, and g _* ² = 7.3( _-3 ^{+ 6} ) with c = 0.3, combining statistical and systematic uncertainties in quadrature. The systematic effects we investigate include the stability of the (a/L) → 0 extrapolations, the interpolation of ${\tilde{g}}_{c}^{2} (L)$ as a function of the bare coupling, the improvement of the gradient flow running coupling, and the discretization of the energy density. In an appendix we observe that the resulting systematic errors increase dramatically upon combining smaller c ≲ 0.2 with smaller L ≤ 12, leading to an IR fixed point at g _* ² = 5.9(1.9) in the c = 0.2 scheme, which resolves to g _* ² = 6.9( _-1 ^{+ 6} ) upon considering only L ≥ 16. At the IR fixed point we measure the leading irrelevant critical exponent to be γ _g _* = 0.26(2), comparable to perturbative estimates.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Syracuse Univ., NY (United States); Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0008669; SC0009998; SC0010005; CNS-0821794

OSTI ID:: 1505130

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 22 works

Citation information provided by
Web of Science

References (75)

QCD: Restoration of chiral symmetry and deconfinement for large $N_{f}$ Bashir, A.; Raya, A.; Rodríguez-Quintero, J. Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.054003	journal	September 2013
One, two, zero: Scales of strong interactions Lombardo, Maria Paola; Miura, Kohtaroh; da Silva, Tiago Nunes International Journal of Modern Physics A, Vol. 29, Issue 25 https://doi.org/10.1142/S0217751X14450079	journal	October 2014
The lattice gradient flow at tree-level and its improvement Fodor, Zoltan; Holland, Kieran; Kuti, Julius Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)018	journal	September 2014
Phase structure of an $SU (N)$ gauge theory with $N_{f}$ flavors Appelquist, Thomas; Ratnaweera, Anuradha; Terning, John Physical Review D, Vol. 58, Issue 10 https://doi.org/10.1103/PhysRevD.58.105017	journal	October 1998
Scale-dependent mass anomalous dimension from Dirac eigenmodes Cheng, Anqi; Hasenfratz, Anna; Petropoulos, Gregory Journal of High Energy Physics, Vol. 2013, Issue 7 https://doi.org/10.1007/JHEP07(2013)061	journal	July 2013
Trivializing Maps, the Wilson Flow and the HMC Algorithm Lüscher, Martin Communications in Mathematical Physics, Vol. 293, Issue 3 https://doi.org/10.1007/s00220-009-0953-7	journal	November 2009
The running coupling of 8 flavors and 3 colors Fodor, Zoltan; Holland, Kieran; Kuti, Julius Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)019	journal	June 2015
Infrared zero of $β$ and value of $γ_{m}$ for an SU(3) gauge theory at the five-loop level Ryttov, Thomas A.; Shrock, Robert Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.105015	journal	November 2016
Search for the IR fixed point in the Twisted Polyakov Loop scheme Itou, Etsuko Proceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009) https://doi.org/10.22323/1.091.0063	conference	June 2010
Scheme-independent calculation of $γ_{\bar{ψ} ψ, I R}$ for an SU(3) gauge theory Ryttov, Thomas A.; Shrock, Robert Physical Review D, Vol. 94, Issue 10 https://doi.org/10.1103/PhysRevD.94.105014	journal	November 2016
Flavor symmetry and the static potential with hypercubic blocking Hasenfratz, Anna; Knechtli, Francesco Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.034504	journal	July 2001
The bulk transition of QCD with twelve flavors and the role of improvement Deuzeman, Albert; Lombardo, Maria Paola; Nunes da Silva, Tiago Physics Letters B, Vol. 720, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.02.030	journal	March 2013
Nonperturbative β function of eight-flavor SU(3) gauge theory Hasenfratz, Anna; Schaich, David; Veernala, Aarti Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)143	journal	June 2015
Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order Caswell, William E. Physical Review Letters, Vol. 33, Issue 4 https://doi.org/10.1103/PhysRevLett.33.244	journal	July 1974
Consistent Perturbative Fixed Point Calculations in QCD and Supersymmetric QCD Ryttov, Thomas A. Physical Review Letters, Vol. 117, Issue 7 https://doi.org/10.1103/PhysRevLett.117.071601	journal	August 2016
The strong coupling bulk transition of twelve flavors Nunes da Silva, Tiago; Deuzeman, Albert; Lombardo, Maria-Paola Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011) https://doi.org/10.22323/1.139.0321	conference	July 2012
Anomalous dimensions on the lattice Giedt, Joel International Journal of Modern Physics A, Vol. 31, Issue 10 https://doi.org/10.1142/S0217751X16300118	journal	April 2016
Zero Temperature Chiral Phase Transition in SU( N ) Gauge Theories Appelquist, Thomas; Terning, John; Wijewardhana, L. C. R. Physical Review Letters, Vol. 77, Issue 7 https://doi.org/10.1103/PhysRevLett.77.1214	journal	August 1996
Mass anomalous dimension from Dirac eigenmode scaling in conformal and confining systems Hasenfratz, Anna; Cheng, Anqi; Petropoulos, Gregory Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0034	conference	December 2012
Conformal window of $SU (N)$ gauge theories with fermions in higher dimensional representations Dietrich, Dennis D.; Sannino, Francesco Physical Review D, Vol. 75, Issue 8 https://doi.org/10.1103/PhysRevD.75.085018	journal	April 2007
Five-Loop Running of the QCD Coupling Constant Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 118, Issue 8 https://doi.org/10.1103/PhysRevLett.118.082002	journal	February 2017
On the particle spectrum and the conformal window Lombardo, M. P.; Miura, K.; Nunes da Silva, T. J. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)183	journal	December 2014
Lattice QCD with 8 and 12 degenerate quark flavors Jin, Xiao-Yong; Mawhinney, Robert Proceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009) https://doi.org/10.22323/1.091.0049	conference	June 2010
The gradient flow coupling in the Schrödinger functional Fritzsch, Patrick; Ramos, Alberto Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)008	journal	October 2013
Infinite N phase transitions in continuum Wilson loop operators Narayanan, Rajamani; Neuberger, Herbert Journal of High Energy Physics, Vol. 2006, Issue 03 https://doi.org/10.1088/1126-6708/2006/03/064	journal	March 2006
The five-loop beta function of Yang-Mills theory with fermions Herzog, F.; Ruijl, B.; Ueda, T. Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)090	journal	February 2017
Fisher zeros and conformality in lattice models Meurice, Yannick Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0229	conference	December 2012
Strong dynamics, composite Higgs and the conformal window Nogradi, Daniel; Patella, Agostino International Journal of Modern Physics A, Vol. 31, Issue 22 https://doi.org/10.1142/S0217751X1643003X	journal	August 2016
Multicritical phenomena in $O {(n}_{1}) \oplus O {(n}_{2})$ -symmetric theories Calabrese, Pasquale; Pelissetto, Andrea; Vicari, Ettore Physical Review B, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevB.67.054505	journal	February 2003
Symanzik improvement of the gradient flow in lattice gauge theories Ramos, Alberto; Sint, Stefan The European Physical Journal C, Vol. 76, Issue 1 https://doi.org/10.1140/epjc/s10052-015-3831-9	journal	January 2016
Twelve massless flavors and three colors below the conformal window Fodor, Zoltán; Holland, Kieran; Kuti, Julius Physics Letters B, Vol. 703, Issue 3 https://doi.org/10.1016/j.physletb.2011.07.037	journal	September 2011
Confining force and running coupling with twelve fundamental and two sextet fermions Fodor, Zoltan; Holland, Kieran; Kuti, Julius Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0025	conference	December 2012
Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours Lin, C. -J. David; Ogawa, Kenji; Ohki, Hiroshi Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)096	journal	August 2012
Bulk and finite- temperature transitions in SU(3) gauge theories with many light fermions Schaich, David; Cheng, Anqi; Hasenfratz, Anna Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) https://doi.org/10.22323/1.164.0028	conference	December 2012
The Yang-Mills gradient flow in finite volume Fodor, Zoltan; Holland, Kieran; Kuti, Julius Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)007	journal	November 2012
Improving the continuum limit of gradient flow step scaling Cheng, Anqi; Hasenfratz, Anna; Liu, Yuzhi Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)137	journal	May 2014
On the phase structure of vector-like gauge theories with massless fermions Banks, T.; Zaks, A. Nuclear Physics B, Vol. 196, Issue 2 https://doi.org/10.1016/0550-3213(82)90035-9	journal	March 1982
The Banks–Zaks expansion in perturbative QCD: An update Stevenson, P. M. Modern Physics Letters A, Vol. 31, Issue 40 https://doi.org/10.1142/S0217732316502266	journal	December 2016
Infrared Fixed Point of the 12-Fermion SU(3) Gauge Model Based on 2-Lattice Monte Carlo Renomalization-Group Matching Hasenfratz, Anna Physical Review Letters, Vol. 108, Issue 6 https://doi.org/10.1103/PhysRevLett.108.061601	journal	February 2012
Lattice Study of the Conformal Window in QCD-like Theories Appelquist, Thomas; Fleming, George T.; Neil, Ethan T. Physical Review Letters, Vol. 100, Issue 17 https://doi.org/10.1103/PhysRevLett.100.171607	journal	April 2008
Large scale separation and hadronic resonances from a new strongly interacting sector Hasenfratz, A.; Rebbi, C.; Witzel, O. Physics Letters B, Vol. 773 https://doi.org/10.1016/j.physletb.2017.07.058	journal	October 2017
Nearly conformal gauge theories in finite volume Fodor, Zoltan; Holland, Kieran; Kuti, Julius Physics Letters B, Vol. 681, Issue 4 https://doi.org/10.1016/j.physletb.2009.10.040	journal	November 2009
IR fixed points in $SU (3)$ gauge theories Ishikawa, K. -I.; Iwasaki, Y.; Nakayama, Yu Physics Letters B, Vol. 748 https://doi.org/10.1016/j.physletb.2015.07.019	journal	September 2015
Lattice tests of beyond standard model dynamics DeGrand, Thomas Reviews of Modern Physics, Vol. 88, Issue 1 https://doi.org/10.1103/RevModPhys.88.015001	journal	January 2016
Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC Aad, G.; Abajyan, T.; Abbott, B. Physics Letters B, Vol. 726, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.08.010	journal	October 2013
Lattice QCD with Eight Degenerate Quark Flavors Jin, Xiao-Yong; Mawhinney, Robert Proceedings of The XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008) https://doi.org/10.22323/1.066.0059	conference	June 2009
Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories Itou, E. Progress of Theoretical and Experimental Physics, Vol. 2013, Issue 8 https://doi.org/10.1093/ptep/ptt053	journal	August 2013
Large scale separation and hadronic resonances from a new strongly interacting sector Hasenfratz, Anna; Rebbi, Claudio; Witzel, Oliver Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2017) https://doi.org/10.22323/1.314.0356	conference	March 2018
Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC Atlas, Collaboration; Agustoni, Marco; Ancu, Lucian Elsevier https://doi.org/10.7892/boris.48859	text	January 2013
Lattice Study of the Conformal Window in QCD-like Theories Appelquist, Thomas; Fleming, George T.; Neil, Ethan T. arXiv https://doi.org/10.48550/arxiv.0712.0609	text	January 2007
Nearly conformal gauge theories in finite volume Fodor, Zoltan; Holland, Kieran; Kuti, Julius arXiv https://doi.org/10.48550/arxiv.0907.4562	text	January 2009
Lattice QCD with 8 and 12 degenerate quark flavors Jin, Xiao-Yong; Mawhinney, Robert D. arXiv https://doi.org/10.48550/arxiv.0910.3216	text	January 2009
Mass anomalous dimension from Dirac eigenmode scaling in conformal and confining systems Hasenfratz, Anna; Cheng, Anqi; Petropoulos, Gregory arXiv https://doi.org/10.48550/arxiv.1207.7162	text	January 2012
The bulk transition of QCD with twelve flavors and the role of improvement Deuzeman, Albert; Lombardo, Maria Paola; da Silva, Tiago Nunes arXiv https://doi.org/10.48550/arxiv.1209.5720	text	January 2012
Confining force and running coupling with twelve fundamental and two sextet fermions Fodor, Zoltan; Holland, Kieran; Kuti, Julius arXiv https://doi.org/10.48550/arxiv.1211.3548	preprint	January 2012
Improving the continuum limit of gradient flow step scaling Cheng, Anqi; Hasenfratz, Anna; Liu, Yuzhi arXiv https://doi.org/10.48550/arxiv.1404.0984	text	January 2014
The lattice gradient flow at tree-level and its improvement Fodor, Zoltan; Holland, Kieran; Kuti, Julius arXiv https://doi.org/10.48550/arxiv.1406.0827	text	January 2014
On the particle spectrum and the conformal window Lombardo, M. P.; Miura, K.; da Silva, T. J. Nunes arXiv https://doi.org/10.48550/arxiv.1410.0298	text	January 2014
One,Two,Zero: Scales of Strong Interactions Lombardo, M. P.; Miura, K.; da Silva, T. J. Nunes arXiv https://doi.org/10.48550/arxiv.1410.2036	text	January 2014
Symanzik improvement of the gradient flow in lattice gauge theories Ramos, A.; Sint, S. arXiv https://doi.org/10.48550/arxiv.1508.05552	text	January 2015
Five-Loop Running of the QCD coupling constant Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. arXiv https://doi.org/10.48550/arxiv.1606.08659	text	January 2016
Strong dynamics, composite Higgs and the conformal window Nogradi, Daniel; Patella, Agostino arXiv https://doi.org/10.48550/arxiv.1607.07638	text	January 2016
The five-loop beta function of Yang-Mills theory with fermions Herzog, F.; Ruijl, B.; Ueda, T. arXiv https://doi.org/10.48550/arxiv.1701.01404	text	January 2017
Flavor Symmetry and the Static Potential with Hypercubic Blocking Hasenfratz, A.; Knechtli, F. arXiv https://doi.org/10.48550/arxiv.hep-lat/0103029	text	January 2001
Evidence for a conformal phase in $SU (N)$ gauge theories Deuzeman, A.; Lombardo, M. P.; Pallante, E. Physical Review D, Vol. 82, Issue 7 https://doi.org/10.1103/physrevd.82.074503	journal	October 2010
Determining the mass anomalous dimension through the eigenmodes of Dirac operator Cheng, Anqi; Hasenfratz, Anna; Schaich, David Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013) https://doi.org/10.22323/1.187.0088	conference	April 2014
Improved gradient flow for step scaling function and scale setting Hasenfratz, Anna Proceedings of The 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014) https://doi.org/10.22323/1.214.0257	conference	May 2015
The bulk transition of many-flavour QCD and the search for a UVFP at strong coupling Deuzeman, Albert; Lombardo, Maria Paola; Pallante, Elisabetta arXiv https://doi.org/10.48550/arxiv.1012.5971	text	January 2010
Lattice Simulations and Infrared Conformality Appelquist, Thomas; Fleming, George T.; Lin, Meifeng arXiv https://doi.org/10.48550/arxiv.1106.2148	text	January 2011
MCRG study of 12 fundamental flavors with mixed fundamental-adjoint gauge action Hasenfratz, Anna arXiv https://doi.org/10.48550/arxiv.1112.6146	preprint	January 2011
Fisher zeros and conformality in lattice models Meurice, Yannick; Bazavov, Alexei; Berg, Bernd A. arXiv https://doi.org/10.48550/arxiv.1210.6969	text	January 2012
The anomalous dimension at the infrared fixed point of Nf = 12 SU(3) theory Itou, Etsuko arXiv https://doi.org/10.48550/arxiv.1311.2998	preprint	January 2013
Finite size scaling of conformal theories in the presence of a near-marginal operator Cheng, Anqi; Hasenfratz, Anna; Liu, Yuzhi arXiv https://doi.org/10.48550/arxiv.1401.0195	text	January 2014
Determination of the mass anomalous dimension for $N_f=12$ and $N_f=9$ SU($3$) gauge theories Itou, Etsuko; Tomiya, Akio arXiv https://doi.org/10.48550/arxiv.1411.1155	preprint	January 2014
IR fixed points in $SU(3)$ gauge Theories Ishikawa, K. -I.; Iwasaki, Y.; Nakayama, Yu arXiv https://doi.org/10.48550/arxiv.1503.02359	text	January 2015

Cited By (16)

Crawling technicolor Catà, O.; Crewther, R. J.; Tunstall, Lewis C. Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/physrevd.100.095007	journal	November 2019
Gradient flow step-scaling function for SU(3) with twelve flavors Hasenfratz, A.; Rebbi, C.; Witzel, O. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/physrevd.100.114508	journal	December 2019
Infrared fixed point of SU(2) gauge theory with six flavors Leino, Viljami; Rummukainen, Kari; Suorsa, Joni Physical Review D, Vol. 97, Issue 11 https://doi.org/10.1103/physrevd.97.114501	journal	June 2018
Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors Leino, Viljami; Rummukainen, Kari; Tuominen, Kimmo Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/physrevd.98.054503	journal	September 2018
Improved study of the $β$ -function of $S U (3)$ gauge theory with $N_{f} = 10$ massless domain-wall fermions Chiu, Ting-Wai Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/physrevd.99.014507	journal	January 2019
Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows Carosso, Andrea; Hasenfratz, Anna; Neil, Ethan T. Physical Review Letters, Vol. 121, Issue 20 https://doi.org/10.1103/physrevlett.121.201601	journal	November 2018
Infrared fixed point of SU(2) gauge theory with six flavors Leino, Viljami; Rummukainen, Kari; Suorsa, Joni M. arXiv https://doi.org/10.48550/arxiv.1707.04722	text	January 2017
Crawling technicolor Catà, O.; Crewther, R. J.; Tunstall, Lewis C. arXiv https://doi.org/10.48550/arxiv.1803.08513	text	January 2018
Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors Leino, Viljami; Rummukainen, Kari; Tuominen, Kimmo arXiv https://doi.org/10.48550/arxiv.1804.02319	text	January 2018
The twisted gradient flow coupling at one loop Bribián, Eduardo I.; García Pérez, Margarita Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/jhep03(2019)200	journal	March 2019
Nonperturbative determination of $β$ functions for SU(3) gauge theories with 10 and 12 fundamental flavors using domain wall fermions Hasenfratz, A.; Rebbi, C.; Witzel, O. arXiv https://doi.org/10.48550/arxiv.1710.11578	preprint	January 2017
On the gradient flow of the Lagrangian density in non-Abelian gauge theories Pallante, Elisabetta arXiv https://doi.org/10.48550/arxiv.1810.05994	preprint	January 2018
Infrared Behaviour of SU(2) Gauge Theory with $N_f$ fundamental flavours Leino, Viljami; Rummukainen, Kari; Suorsa, Joni M. arXiv https://doi.org/10.48550/arxiv.1811.12438	preprint	January 2018
Tantalizing dilaton tests from a near-conformal EFT Fodor, Zoltan; Holland, Kieran; Kuti, Julius arXiv https://doi.org/10.48550/arxiv.1901.06324	preprint	January 2019
Studies of Conformal Behavior in Strongly Interacting Quantum Field Theories Gasbarro, Andrew David arXiv https://doi.org/10.48550/arxiv.1911.00442	preprint	January 2019
Short flow-time coefficients of CP-violating operators Rizik, Matthew D.; Monahan, Christopher J.; Shindler, Andrea arXiv https://doi.org/10.48550/arxiv.2005.04199	text	January 2020

Similar Records

Measurement of dijet cross-sections in low ${\rm Q}^2$ ep collisions and the extraction of an effective parton density for the virtual photon

Journal Article · Fri Feb 25 00:00:00 EST 2000 · European Physical Journal. C, Particles and Fields · OSTI ID:1505130

Adloff et al., C.

Measurement of the inclusive and fiducial

t \bar{t}

production cross-sections in the lepton+jets channel in pp collisions at

\sqrt{s} = 8 TeV

with the ATLAS detector

Journal Article · Tue Jun 12 00:00:00 EDT 2018 · European Physical Journal. C, Particles and Fields · OSTI ID:1505130

Aaboud, M.; Aad, G.; Abbott, B.; +2901 more

Observation of the decay $Λ^0_b$ → $pK$^- $μ$⁺$μ$^- and a search for $CP$ violation

Journal Article · Wed Jun 21 00:00:00 EDT 2017 · Journal of High Energy Physics (Online) · OSTI ID:1505130

Aaij, R.; Adeva, B.; Adinolfi, M.; +763 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
lattice quantum field theory
renormalization group
technicolor and composite models

Title: Nonperturbative β function of twelve-flavor SU(3) gauge theory

Citation Formats

References (75)

Cited By (16)

Similar Records

Related Subjects