8 NNLO using non-local subtraction

Chapter 8
NNLO using non-local subtraction

We have performed NLO and NNLO calculations for the production of color singlet bosons using different methods and published the results in ref. [21]. NLO calculations can performed by three methods, (subtraction, zero-jettiness slicing and

q_{T}

-slicing. NNLO calculations can be performed by zero-jettiness slicing and

q_{T}

-slicing.

8.1 Benchmark results at NNLO

We have included a suite of input files that have been set up to showcase all color-singlet processes that may be computed up to NNLO, located in:

     Bin/2202.07738_nonlocal/lo
     Bin/2202.07738_nonlocal/nlo
     Bin/2202.07738_nonlocal/nnlo

or accessible via the process web-pages, (linked in the table below) These files reproduce the results presented in Ref. [21]. A list of the processes, input files and results (NNLO coefficient and running time) is shown in Table 8.1.


Final state	input file	precision	$δ_{NNLO}$	Time (CPU days)

$H$	`input_H_qt.ini`	0.01	10.13(0.09)pb	2.18
	`input_H_scet.ini`		10.09(0.09)pb	4.07

$Z$	`input_Z_qt.ini`	0.05	-388(20)pb	313
	`input_Z_scet.ini`		-371(18)pb	261

$W^{−}$	`input_W-_qt.ini`	0.03	-667(20)pb	268
	`input_W-_scet.ini`		-624(19)pb	213

$W^{+}$	`input_W+_qt.ini`	0.06	-358(21)pb	556
	`input_W+_scet.ini`		-275(16)pb	555

$ZH$	`input_ZH_qt.ini`	0.01	65.9(0.6)fb	19.4
	`input_ZH_scet.ini`		67.4(0.6)fb	19.1

$W^{−} H + W^{+} H$	`input_WH_qt.ini`	0.01	29.7(0.3)fb	271
	`input_WH_scet.ini`		29.4(0.3)fb	281

$e^{−} e^{+} γ$	`input_eexa_qt.ini`	0.03	133.8(4.0)fb	183
	`input_eexa_scet.ini`		128.7(3.8)fb	203

$e^{−} {\bar{ν}}_{e} γ$	`input_enexa_qt.ini`	0.01	389.8(3.9)fb	26.1
	`input_enexa_scet.ini`		371.7(3.6)fb	50.0

$ν_{e} e^{+} γ$	`input_neexa_qt.ini`	0.01	488.0(4.8)fb	29.1
	`input_neexa_scet.ini`		461.7(4.6)fb	47.1

$γγ$	`input_aa_qt.ini`	0.01	13.98(0.13)pb	1.08
	`input_aa_scet.ini`		14.17(0.14)pb	0.92

$e^{−} μ^{+} {\bar{ν}}_{e} ν_{μ}$	`input_emxnexnm_qt.ini`	0.015	21.2(0.3)fb	325
	`input_emxnexnm_scet.ini`		21.6(0.3)fb	319

$e^{−} {\bar{ν}}_{e} μ^{−} μ^{+}$	`input_enexmmx_qt.ini`	0.01	2.23(0.02)fb	82.7
	`input_enexmmx_scet.ini`		2.25(0.02)fb	76.6

$\bar{ν} e^{+} μ^{−} μ^{+}$	`input_neexmmx_qt.ini`	0.01	3.13(0.03)fb	124
	`input_neexmmx_scet.ini`		3.14(0.03)fb	121

$e^{−} e^{+} μ^{−} μ^{+}$	`input_eexmmx_qt.ini`	0.01	2.99(0.03)fb	54.2
	`input_eexmmx_scet.ini`		3.03(0.03)fb	76.1

Table 8.1: Results have been obtained when requiring the given precision (precisiongoal in the input file) on the calculation of the NNLO coefficient (

δ_{NNLO}

Chapter 8NNLO using non-local subtraction

8.1 Benchmark results at NNLO

Chapter 8
NNLO using non-local subtraction