Theory parameter definitions

Table describing the variables used to specify theory choices in nnpdf. Here they are shown directly as the fields of the runcards in theory_cards. The Type column refers directly to data type of the field.

Field/key

Type

Description

Comments

ID

Integer

TheoryID

Theory enumerating ID

PTO

Integer

pQCD order

(0/1/2 = LO/NLO/NNLO)

FNS

Text

Flavour Number Scheme

e.g FONLL-A/B/C, ZM-VFNS or FFNS

IC

Integer

Intrinsic charm switch

Boolean

ModEv

Text

DGLAP solution mode

EXA/EXP/TRN

XIR

Real

\(\xi_R\)

\(\mu_R/Q\)

XIF

Real

\(\xi_F\)

\(\mu_F/Q\)

QED

Integer

QED switch

Boolean

Q0

Real

\(Q_0\)

FK Table initial scale

mc

Real

\(c\) quark mass \(M_c/m_c(Q_{mc})\)

Units: GeV

Qmc

Real

\(Q_{mc}\)

\(c\) reference scale (GeV)

kcThr

Real

\(c\) production threshold ratio

Ratio to \(m_c\)

mb

Real

\(b\) quark mass \(M_b/m_b(Q_{mb})\)

Units: GeV

Qmb

Real

\(Q_{mb}\)

\(b\) reference scale (GeV)

kbThr

Real

\(b\) production threshold ratio

Ratio to \(m_b\)

mt

Real

\(t\) quark mass \(M_t/m_t(Q_{mt})\)

Units: GeV

Qmt

Real

\(Q_{mt}\)

\(t\) reference scale (GeV)

ktThr

Real

\(t\) production threshold ratio

Ratio to \(m_t\)

CKM

Text

CKM matrix elements

Unpacked 3X3 matrix

MZ

Real

\(M_Z\)

\(Z\) mass (GeV)

MW

Real

\(M_W\)

\(W\) mass (GeV)

GF

Real

\(G_F\)

Fermi coupling constant

SIN2TW

Real

\(\sin^2\theta_W\)

TMC

Integer

Target mass corrections

Boolean

MP

Real

\(M_P\) Proton mass

Units: GeV

Comments

Text

General comments

alphas

Real

Strong coupling

Format: \(\alpha_s(Q_{\textrm{ref}})\)

alphaqed

Real

QED coupling

Format: \(\alpha_{QED}(Q_{\textrm{qedref}})\)

Qref

Real

\(Q_{\textrm{ref}}\)

Reference scale for \(\alpha_S\) and \(\alpha_{\rm EW}\) in GeV

XIA

Real

\(\xi_A\)

\(\mu_A/Q\)

NfFF

Integer

Number of flavours in the FFNS

3/4/5/6

nfref

Integer

\(n_f^{(\textrm{ref})}\)

Number of active flavours at \(Q_{\textrm{ref}}\)

MaxNfPdf

Integer

\(n_f^{\textrm{max}}\)

Used by pineko and the photon module to define the thresholds

nf0

Integer

\(n_f^{(0)}\)

Number of active flavours at \(Q_0\)

HQ

Text

HQ mass treatment

POLE/MSBAR

IterEv

Integer

iterations for the evolution of the PDF

Defaults to 60 when ModEv = EXA

ModSV

Text

Scale variation scheme

expanded/exponentiated

DAMP

Integer

FONLL damping factor switch

Boolean

DAMPPOWERc

Integer

Damping power for charm in FONLL

needed when DAMP and FONLL are used

DAMPPOWERb

Integer

Damping power for bottom in FONLL

needed when DAMP and FONLL are used

n3lo_ad_variation

List

IHOU variation of the N3LO anomalous dimensions

Order is (gg

gq

qg

qq

nsp

nsm

nsv)

with values 0 or 1 for FHMRUVV

n3lo_cf_variation

List

IHOU variations of the N3LO massive DIS coefficient functions

Values are -1

0

1

use_fhmruvv

Integer

use N3LO anomalous dimensions by FHMRUVV group

Boolean

MaxNfAs

Integer

\(n^{(\alpha_s)}_{f \textrm{max}}\)

Max active flavours in \(\alpha_s\)

SxRes

Integer

small-\(x\) resummation switch

Boolean

SxOrd

Text

small-\(x\) pt switch

(‘LL’, ‘NLL’, ‘NLL’)

EScaleVar

Integer

Switch for DGLAP scale variation

Boolean

Qedref

Real

\(Q_{\textrm{qedref}}\)

QED reference scale (GeV)

global_nx

Integer

Global x-grid precision

Default (0) uses set-by-set precision