Cone thrust minor with recoil term

Definition of the observable

One minus the central transverse thrust with recoil term is defined as in eq. (13), however the region ${\cal C}$ is defined as in eq. (9).

Born event used for the analysis

The hard scale (Q) is taken to be the Born partonic center-of-mass energy.
Rapidity of the center of mass of the outgoing pair: 0.000
Cosine of the angle between outgoing jet and beam (in the partonic CM frame): 0.200

Elementary tests on the observable

Test	result
check number of jets	T
all legs positive	T
globalness	T

Single emission properties

leg $\ell$	$a_{\ell}$	$b_{\ell}$	$g_{\ell}(\phi)$	$d_{\ell}$	$\langle \ln g_{\ell}(\phi) \rangle$
1	$1.000$	$0.000$	tabulated	$2.041$	$-0.220$
2	$1.000$	$0.000$	tabulated	$2.041$	$-0.220$
3	$1.000$	$0.000$	$\vert sin(\phi)\vert$	$2.041$	$-\ln(2)$
4	$1.000$	$0.000$	$\vert sin(\phi)\vert$	$2.041$	$-\ln(2)$

Azimuthal dependence

Multiple emission tests

Test	result
continuously global	T
exponentiation (condition 1)	T
exponentiation (condition 2a)	T
exponentiation (condition 2b)	T
exponentiation	T
additivity	F
eliminate subleading effects	T
opt. probe region exists	T

Information regarding the presence of possible zeros

leg	1	2	3	4
1	good zero	good zero	no zero	no zero
2	good zero	good zero	no zero	no zero
3	no zero	no zero	no zero	no zero
4	no zero	no zero	no zero	no zero

Classification of legs into divergent sequences with shared properties

Sequence number 1 has 2 legs
Legs in the sequence: 1 2
Orientation of the legs: 1 -1
Type of zero: zt_sumvecVf
Position of the divergence: $\sum_{i \in seq.} R_i = 2.000$

Multiple emission effects

Second order coefficient ${\cal F}_2$ of the function ${\cal F}$

Number of events used: 10

Result for each colour configuration

qq -> qq	${\cal F}_2 =-0.43336\pm 0.34783$
qg -> qg	${\cal F}_2 =-0.18627\pm 0.28005$
qg -> gq	${\cal F}_2 =-0.07973\pm 0.09606$
gq -> gq	${\cal F}_2 =-1.11274\pm 0.66153$
gq -> qg	${\cal F}_2 =-1.18685\pm 0.64527$
qq -> gg	${\cal F}_2 =-0.43095\pm 0.37401$
gg -> qq	${\cal F}_2 = 0.13876\pm 0.14669$
gg -> gg	${\cal F}_2 =-0.22249\pm 0.18708$

For a precise definition of the configurations see [3].

The multiple emission function ${\cal F}$

Number of events used: 1000000

Collection of automatically generated results

tmin_HH_Cone_rec.tar.gz collects all files produced automatically by Caesar.