ATLAS and CMS limits are from ${{\mathit q}}$ ${{\overline{\mathit q}}}$ $\rightarrow$ ${{\mathit \tau}^{*}}{{\mathit \tau}}$ including contact interactions. Other limits are from ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \tau}^{*}}{{\mathit \tau}}$ and depend on transition magnetic coupling between ${{\mathit \tau}}$ and ${{\mathit \tau}^{*}}$. All limits assume ${{\mathit \tau}^{*}}$ $\rightarrow$ ${{\mathit \tau}}{{\mathit \gamma}}$ decay. Limits from LEP are for chiral coupling, whereas all other limits are for nonchiral coupling, ${{\mathit \eta}_{{{L}}}}$ = ${{\mathit \eta}_{{{R}}}}$ = 1. In most papers, the limit is expressed in the form of an excluded region in the $\lambda −{\mathit m}_{{{\mathit \tau}^{*}}}$ plane. See the original papers.

S054TXS VALUE (GeV) CL% DOCUMENT ID TECN  COMMENT $\bf{>4700}$ 95 1 HAYRAPETYAN 2025 Y   CMS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \tau}}{{\mathit \tau}^{*}}$ • • We do not use the following data for averages, fits, limits, etc. • • $>4600$ 95 2 AAD 2023 BJ   ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \tau}}{{\mathit \tau}^{*}}$ $> 2500$ 95 3 AAD 2015 AP   ATLS ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \tau}^{(*)}}{{\mathit \tau}^{*}}{{\mathit X}}$ $>180$ 95 4 ACHARD 2003 B   L3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \tau}}{{\mathit \tau}^{*}}$ $>185$ 95 5 ABBIENDI 2002 G   OPAL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \tau}}{{\mathit \tau}^{*}}$ 1  HAYRAPETYAN 2025Y search for ${{\mathit \tau}^{*}}$ produced in association with ${{\mathit \tau}}$ via a contact interaction and decaying into ${{\mathit \tau}}{{\mathit \gamma}}$. The limit quoted above assumes ${{\mathit f}}$ = ${{\mathit f}^{\,'}}$ = 1 and ${{\mathit \Lambda}}$ = ${\mathit m}_{{{\mathit \tau}^{*}}}$. 2  AAD 2023BJ search for ${{\mathit \tau}^{*}}$ produced in association with ${{\mathit \tau}}$ and decaying into ${{\mathit \tau}}{{\mathit q}}{{\overline{\mathit q}}}$ via a contact interaction with $\mathit g{}^{2}_{{\mathrm {contact}}}$ = (4${{\mathit \pi}}){}^{2}$. The limit quoted above assumes $\Lambda $ = ${\mathit m}_{{{\mathit \tau}^{*}}}$. 3  AAD 2015AP search for ${{\mathit \tau}^{*}}$ production in events with three or more charged leptons in ${{\mathit p}}{{\mathit p}}$ collisions at $\sqrt {s }$ = 8 TeV. The quoted limit assumes ${{\mathit \Lambda}}$ = ${\mathit m}_{{{\mathit \tau}^{*}}}$, ${{\mathit f}}$ = ${{\mathit f}^{\,'}}$ = 1. The contact interaction is included in the ${{\mathit \tau}^{*}}$ production and decay amplitudes. 4  ACHARD 2003B result is from ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {\mathit s }$ = $189 - 209$ GeV. ${{\mathit f}}$ = ${{\mathit f}^{\,'}}$ = $\Lambda /{\mathit m}_{{{\mathit \tau}^{*}}}$ is assumed. See their Fig.$~$4 for the exclusion plot in the mass-coupling plane. 5  ABBIENDI 2002G result is from ${{\mathit e}^{+}}{{\mathit e}^{-}}$ collisions at $\sqrt {\mathit s }$ = $183 - 209$ GeV. ${{\mathit f}}$ = ${{\mathit f}^{\,'}}$ = $\Lambda /{\mathit m}_{{{\mathit \tau}^{*}}}$ is assumed for ${{\mathit \tau}^{*}}$ coupling. See their Fig.$~$4c for the exclusion limit in the mass-coupling plane.

References