equation_database.arxiv_2202_13416

Functions

bibtex()

DOI, arXiv, Soft gluon resummation for associated squark-electroweakino production at the LHC

equation_2_4([M_s, g_s, C_A, C_F, B, s, m_X, t])

equation_2_5([M_u, g_s, C_A, C_F, B, u, ...])

equation_2_6([M_s, M_u, g_s, C_A, C_F, B, ...])

equation_2_8([M, M_s, M_u])

total spin- and colour-averaged squared amplitude
equation_database.arxiv_2202_13416.bibtex()[source]

DOI, arXiv, Soft gluon resummation for associated squark-electroweakino production at the LHC

@article{Fiaschi:2022odp,
    author = "Fiaschi, Juri and Fuks, Benjamin and Klasen, Michael and Neuwirth, Alexander",
    title = "{Soft gluon resummation for associated squark-electroweakino production at the LHC}",
    eprint = "2202.13416",
    archivePrefix = "arXiv",
    primaryClass = "hep-ph",
    reportNumber = "MS-TP-22-05, LTH 1299",
    doi = "10.1007/JHEP06(2022)130",
    journal = "JHEP",
    volume = "06",
    pages = "130",
    year = "2022"
}
equation_database.arxiv_2202_13416.equation_2_4(M_s=M_s, g_s=g_s, C_A=C_A, C_F=C_F, B=B, s=s, m_X=m_X, t=t)[source]
Parameters:

  • M_s – Matrix element for the s channel

  • g_s – strong coupling constant

  • C_A – Casimir operator for the adjoint representation of SU(3)

  • C_F – Casimir operator for the fundamental representation of SU(3)

  • B – squared eletroweakino-squark coupling

  • s – Mandelstam variable s

  • m_X – Mass of the electroweakino

  • t – Mandelstam variable t

Returns:

\(\left|{M_{s}}\right|^{2} = \frac{2 B C_{A} C_{F} g_{s}^{2} \left(m_{X}^{2} - t\right)}{s}\),

\left|{M_{s}}\right|^{2} = \frac{2 B C_{A} C_{F} g_{s}^{2} \left(m_{X}^{2} - t\right)}{s}
equation_database.arxiv_2202_13416.equation_2_5(M_u=M_u, g_s=g_s, C_A=C_A, C_F=C_F, B=B, u=u, m_X=m_X, m_sq=m_sq)[source]
Parameters:

  • M_u – Matrix element for the u channel

  • g_s – strong coupling constant

  • C_A – Casimir operator for the adjoint representation of SU(3)

  • C_F – Casimir operator for the fundamental representation of SU(3)

  • B – squared eletroweakino-squark coupling

  • u – Mandelstam variable u

  • m_X – Mass of the electroweakino

  • m_sq – Mass of the squark

Returns:

\(\left|{M_{u}}\right|^{2} = \frac{2 B C_{A} C_{F} g_{s}^{2} \left(m_{X}^{2} - u\right) \left(m_{sq}^{2} + u\right)}{\left(- m_{sq}^{2} + u\right)^{2}}\),

\left|{M_{u}}\right|^{2} = \frac{2 B C_{A} C_{F} g_{s}^{2} \left(m_{X}^{2} - u\right) \left(m_{sq}^{2} + u\right)}{\left(- m_{sq}^{2} + u\right)^{2}}
equation_database.arxiv_2202_13416.equation_2_6(M_s=M_s, M_u=M_u, g_s=g_s, C_A=C_A, C_F=C_F, B=B, s=s, u=u, m_X=m_X, m_sq=m_sq)[source]
Parameters:

  • M_s – Matrix element for the s channel

  • M_u – Matrix element for the u channel

  • g_s – strong coupling constant

  • C_A – Casimir operator for the adjoint representation of SU(3)

  • C_F – Casimir operator for the fundamental representation of SU(3)

  • B – squared eletroweakino-squark coupling

  • s – Mandelstam variable s

  • u – Mandelstam variable u

  • m_X – Mass of the electroweakino

  • m_sq – Mass of the squark

Returns:

\(2 \operatorname{re}{\left(M_{s} \overline{M_{u}}\right)} = \frac{B C_{A} C_{F} g_{s}^{2} \left(2 m_{X}^{4} - 2 m_{X}^{2} \left(2 m_{sq}^{2} + u\right) - 2 m_{sq}^{4} + m_{sq}^{2} \left(- 3 s + 2 u\right) - s u\right)}{s \left(- m_{sq}^{2} + u\right)}\),

2 \operatorname{re}{\left(M_{s} \overline{M_{u}}\right)} = \frac{B C_{A} C_{F} g_{s}^{2} \left(2 m_{X}^{4} - 2 m_{X}^{2} \left(2 m_{sq}^{2} + u\right) - 2 m_{sq}^{4} + m_{sq}^{2} \left(- 3 s + 2 u\right) - s u\right)}{s \left(- m_{sq}^{2} + u\right)}
equation_database.arxiv_2202_13416.equation_2_8(M=M, M_s=M_s, M_u=M_u)[source]

total spin- and colour-averaged squared amplitude

Parameters:

  • M – Matrix element for the process

  • M_s – Matrix element for the s channel

  • M_u – Matrix element for the u channel

Returns:

\(\left|{M}\right|^{2} = \frac{\operatorname{re}{\left(M_{s} \overline{M_{u}}\right)}}{48} + \frac{\left|{M_{s}}\right|^{2}}{96} + \frac{\left|{M_{u}}\right|^{2}}{96}\),

\left|{M}\right|^{2} = \frac{\operatorname{re}{\left(M_{s} \overline{M_{u}}\right)}}{48} + \frac{\left|{M_{s}}\right|^{2}}{96} + \frac{\left|{M_{u}}\right|^{2}}{96}