Mishnah Parah 4:1: A chatat heifer that was slaughtered not for its sake [i.e. without the intention that it be for the ritual of the red heifer], [or if the blood] was collected and sprinkled not for its sake, or [if any of these parts of the service were performed] for its sake [initially] and not for its sake [afterwards], or not for its sake [initially] and for its sake [afterwards]--it is invalid [in all of these cases]. Rabbi Eliezer validates it. And if [it was performed by a priest] with unwashed hands and feet, it is invalid. Rabbi Eliezer validates it. And if it was not [performed by] the high priest, it is invalid. Rabbi Yehuda validates it. And if he was lacking garments [i.e. he wasn't wearing all the mandated priestly garments], it is invalid. And it was performed in the white garments [used also for parts of the Yom Kippur service].

פָּרַת חַטָּאת שֶׁשְּׁחָטָהּ שֶׁלֹּא לִשְׁמָהּ, קִבֵּל וְהִזָּה שֶׁלֹּא לִשְׁמָהּ, אוֹ לִשְׁמָהּ וְשֶׁלֹּא לִשְׁמָהּ, אוֹ שֶׁלֹּא לִשְׁמָהּ וְלִשְׁמָהּ, פְּסוּלָה. רַבִּי אֱלִיעֶזֶר מַכְשִׁיר. וְשֶׁלֹּא רְחוּץ יָדַיִם וְרַגְלַיִם, פְּסוּלָה. רַבִּי אֱלִיעֶזֶר מַכְשִׁיר. וְשֶׁלֹּא בְכֹהֵן גָּדוֹל, פְּסוּלָה. רַבִּי יְהוּדָה מַכְשִׁיר. וּמְחֻסַּר בְּגָדִים, פְּסוּלָה. וּבִכְלֵי לָבָן הָיְתָה נַעֲשֵׂית:

Mishnah Parah 4:2: If it was burnt outside its pit [region designated for burning], or in two pits, or if two were burnt in one pit, it is invalid. If it was sprinkled but not directed towards the opening [of the temple], it is invalid. If the sixth [sprinkling] was used to [also] perform the seventh sprinkling, [even] if he went back [and dipped] and sprinkled a seventh, it is invalid. If the seventh [sprinkling] was used to [also] perform the eighth, if he went back [and dipped] and sprinkled an eighth, it is valid.

שְׂרָפָהּ חוּץ מִגִּתָּהּ, אוֹ בִשְׁתֵּי גִתּוֹת, אוֹ שֶׁשָּׂרַף שְׁתַּיִם בְּגַת אַחַת, פְּסוּלָה. הִזָּה וְלֹא כִוֵּן כְּנֶגֶד הַפֶּתַח, פְּסוּלָה. הִזָּה מִשִּׁשִּׁית שְׁבִיעִית, חָזַר וְהִזָּה שְׁבִיעִית, פְּסוּלָה. מִשְּׁבִיעִית שְׁמִינִית וְחָזַר וְהִזָּה שְׁמִינִית, כְּשֵׁרָה: