FORWARD-BACKWARD ASYMMETRIES

The forward-backward assymmetry is defined as A$_{FB}$ = [ N(q$_{FB}>$ 0) $−$ N(q$_{FB}<$ 0)] $/$ [N(q$_{FB}>$ 0) + N(q$_{FB}<$ 0) ], where q$_{FB}$ = $−$ q$_{B}\cdot{}$sgn(${{\mathit \eta}_{{{B}}}}$) with q$_{B}$ as the ${{\mathit B}}$ hadron electric charge, ${{\mathit \eta}_{{{B}}}}$ as its pseudorapidity, and sgn(${{\mathit \eta}_{{{B}}}}$) as a sign function of ${{\mathit \eta}_{{{B}}}}$.

A$_{P}({{\mathit B}^{+}}$) = [${\mathit \sigma (}{{\mathit B}^{-}}{)}$ $−$ ${\mathit \sigma (}{{\mathit B}^{+}}{)}$] $/$ [${\mathit \sigma (}{{\mathit B}^{-}}{)}$ $+$ ${\mathit \sigma (}{{\mathit B}^{+}}{)}$]

INSPIRE   PDGID:
S041A03
Production asymmetries
VALUE ($ 10^{-3} $) DOCUMENT ID TECN  COMMENT
$\bf{ -5.7 \pm1.7}$ OUR AVERAGE
$-7.0$ $\pm0.8$ $\pm3.1$ 1
AAIJ
2023U
 LHCB ${{\mathit p}}{{\mathit p}}$ at 13 TeV
$-4.1$ $\pm4.9$ $\pm1.0$ 2
AAIJ
2017AP
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV
$-5.3$ $\pm3.1$ $\pm1.0$ 2
AAIJ
2017AP
 LHCB ${{\mathit p}}{{\mathit p}}$ at 8 TeV
$-2.3$ $\pm2.4$ $\pm3.7$ 3
AAIJ
2017BF
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV
$-7.4$ $\pm1.5$ $\pm3.2$ 3
AAIJ
2017BF
 LHCB ${{\mathit p}}{{\mathit p}}$ at 8 TeV
1  The second error includes the uncertainties from $\mathit A_{CP}$( ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}$) = $0.0018$ $\pm0.0030$.
2  AAIJ 2017AP uses ${{\mathit B}^{+}}$ $\rightarrow$ ${{\overline{\mathit D}}^{0}}{{\mathit \pi}^{+}}$ decays with ${{\mathit B}^{+}}$ transverse momenta $p_T$ and rapidities y in the region of 2 $<$ $p_T$ $<$ 30 GeV/c and 2.1 $<$ y $<$ 4.5.
3  AAIJ 2017BF uses ${{\mathit B}^{+}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{+}}$ decays with ${{\mathit B}^{+}}$ transverse momenta $p_T$ and rapidities y in the region of 0 $<$ $p_T$ $<$ 30 GeV/c and 2.1 $<$ y $<$ 4.5.
References