• • • We do not use the following data for averages, fits, limits, etc. • • • 
$0.12<Re(f{}^{R}_{2}/f{}^{L}_{1})<0.17$ 
95 
^{ 1} 

ATLS 
$0.07<Im(f{}^{R}_{2}/f{}^{L}_{1})<0.06$ 
95 
^{ 1} 

ATLS 
$−0.18 < Im(f{}^{R}_{2}) < 0.06$ 
95 
^{ 2} 

ATLS 
$ 0.049 < f{}^{R}_{2} < 0.048$ 
95 
^{ 3} 

CMS 
$0.36<Re(f{}^{R}_{2}/f{}^{L}_{1})<0.10$ 
95 
^{ 4} 

ATLS 
$0.17<Im(f{}^{R}_{2}/f{}^{L}_{1})<0.23$ 
95 
^{ 4} 

ATLS 
$0.08< Re(f{}^{R}_{2})< 0.04$ 
95 
^{ 5} 

ATLS 
$(\mathit V_{\mathit tb} \text{ f}{}^{R}_{2}){}^{2} < 0.06$ 
95 
^{ 6} 

D0 
$\vert f{}^{R}_{2}\vert ^2 < 0.12$ 
95 
^{ 7} 

D0 
$\vert f{}^{R}_{2}\vert ^2 < 0.23$ 
95 
^{ 8} 

D0 
$\vert f{}^{R}_{2}\vert ^2 < 0.3$ 
95 
^{ 9} 

D0 
^{1}
AABOUD 2017BB based on 20.2 fb${}^{1}$ of ${{\mathit p}}{{\mathit p}}$ data at $\sqrt {s }$ = 8 TeV. Tripledifferential decay rate of top quark is used to simultaneously determine five generalized ${{\mathit W}}{{\mathit t}}{{\mathit b}}$ couplings as well as the top polarization. No assumption is made for the other couplings. See this paper for constraints on other couplings not included here.

^{2}
AABOUD 2017I based on 20.2 fb${}^{1}$ of ${{\mathit p}}{{\mathit p}}$ data at $\sqrt {s }$ = 8 TeV. A cutbased analysis is used to discriminate between signal and backgrounds. All anomalous couplings other than Im(f)${}^{R}_{2}$ are assumed to be zero. See this paper for a number of other asymmetries and measurements that are not included here.

^{3}
KHACHATRYAN 2017G based on 5.0 and 19.7 fb${}^{1}$ of ${{\mathit p}}{{\mathit p}}$ data at $\sqrt {s }$ = 7 and 8 TeV, respectively. A Bayesian neural network technique is used to discriminate between signal and backgrounds. This is a 95$\%$ CL exclusion limit obtained by a threedimensional fit with simultaneous variation of (f${}^{L}_{1}$, f${}^{L}_{2}$, f${}^{R}_{2}$).

^{4}
AAD 2016AK based on 4.6 fb${}^{1}$ of ${{\mathit p}}{{\mathit p}}$ data at $\sqrt {s }$ = 7 TeV. The results are obtained from an analysis of angular distributions of the decay products of single top quarks, assuming ${{\mathit f}}{}^{R}_{1}$= ${{\mathit f}}{}^{L}_{2}$=0. The fraction of decays containing transversely polarized ${{\mathit W}}$ is measured to be $\mathit F_{+}$ + $\mathit F_{}$ = $0.37$ $\pm0.07$.

^{5}
Based on 1.04 fb${}^{1}$ of ${{\mathit p}}{{\mathit p}}$ data at $\sqrt {s }$ = 7 TeV. AAD 2012BG studied events with large $\not E_T$ and either ${{\mathit \ell}}$ +${}\geq{}$4j or ${{\mathit \ell}}{{\mathit \ell}}$ +${}\geq{}$2j.

^{6}
Based on 5.4 fb${}^{1}$ of data. For each value of the form factor quoted the other two are assumed to have their SM value. Their Fig. 4 shows twodimensional posterior probability density distributions for the anomalous couplings.

^{7}
Based on 5.4 fb${}^{1}$ of data in ${{\mathit p}}{{\overline{\mathit p}}}$ collisions at 1.96 TeV. Results are obtained by combining the limits from the ${{\mathit W}}$ helicity measurements and those from the single top quark production.

^{8}
Based on 1 fb${}^{1}$ of data at ${{\mathit p}}{{\overline{\mathit p}}}$ collisions $\sqrt {s }$ = 1.96 TeV. Combined result of the ${{\mathit W}}$ helicity measurement in ${{\mathit t}}{{\overline{\mathit t}}}$ events (ABAZOV 2008B) and the search for anomalous ${{\mathit t}}{{\mathit b}}{{\mathit W}}$ couplings in the single top production (ABAZOV 2008AI). Constraints when f${}^{L}_{1}$ and one of the anomalous couplings are simultaneously allowed to vary are given in their Fig. 1 and Table 1.

^{9}
Result is based on 0.9 fb${}^{1}$ of data at $\sqrt {s }$ = 1.96 TeV. Single top quark production events are used to measure the Lorentz structure of the ${{\mathit t}}{{\mathit b}}{{\mathit W}}$ coupling. The upper bounds on the nonstandard couplings are obtained when only one nonstandard coupling is allowed to be present together with the SM one, f${}^{L}_{1}$ = V${}^{*}_{ {{\mathit t}} {{\mathit b}} }$.
