next up previous
Next: Cone total jet mass Up: Observables in hadronic dijet Previous: Central total jet mass

Subsections

Cone total jet mass with exponentially suppressed forward term


Definition of the observable

The cone central exponentially suppressed total mass is defined as eq. (16), 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 $ $ 1.000 $ 1 $ 1.021 $ 0
2 $ 1.000 $ $ 1.000 $ 1 $ 1.021 $ 0
3 $ 1.000 $ $ 1.000 $ 1 $ 1.042 $ 0
4 $ 1.000 $ $ 1.000 $ 1 $ 1.042 $ 0

Multiple emission tests

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

Information regarding the presence of possible zeros

No zeroes or small values found.

Multiple emission effects

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

The observable is additive, therefore $ {\cal F}_2 =-\frac{\pi^2}{12}$.

The multiple emission function $ {\cal F}$

The observable is additive, therefore $ {\cal F}(R')=e{^{-\gamma_E R'}}/\Gamma(1+R')$.

Collection of automatically generated results

mt_HH_Cone_exp.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Cone total jet mass Up: Observables in hadronic dijet Previous: Central total jet mass
Giulia Zanderighi 2005-05-27