Siman 142
Presented here for study, not as a practical ruling. The Shulchan Aruch rules by Sephardi custom, the Rema's glosses by Ashkenazi custom, and the Kitzur follows Ashkenazi custom. For a practical question, ask your rabbi.
א קָרָא וְטָעָה, אֲפִלּוּ בְּדִקְדּוּק אוֹת אַחַת, מַחֲזִירִין אוֹתוֹ. הַגָּה: וְכֵן דִּין הַחַזָּן הַקּוֹרֵא; וְדַוְקָא שִׁנּוּי שֶׁמִּשְׁתַּנֶּה עַל יְדֵי זֶה הָעִנְיָן, אֲבָל אִם טָעָה בִּנְגִינַת הַטַּעַם אוֹ בַּנִּקּוּד, אֵין מַחֲזִירִין אוֹתוֹ, אֲבָל גּוֹעֲרִין בּוֹ (בֵּית יוֹסֵף וּפִסְקֵי מהרא"י סִימָן קפ"א).
1 The Law of One Who Read and Erred, And a Place Where There is No One Who Knows How to Read [Torah] Precisely. Containing 2 S'ifim: One who read and erred, even in the pronunciation of one single letter, we make [the reader] go back [and read again]. Rema: The same law applies to the chazzan [i.e. the one who reads for others] who reads. And [this is all] specifically [in regards to] a change which alters the meaning [of the word], but if [the reader] erred in the melody of the cantillation or the vowelization [that does not alter the meaning], we do not make [the reader] go back, but we do rebuke [the reader]. (Beit Yosef and Piskei Maharia, Siman 181)
ב וְיִשּׁוּב שֶׁיֵּשׁ שָׁם מִנְיָן וְאֵין מִי שֶׁיּוֹדֵעַ לִקְרוֹת בַּתּוֹרָה כְּהִלְכָתָהּ בְּדִקְדּוּק וּבִטְעָמִים, אֲפִלּוּ הָכֵי יִקְרְאוּ בַּתּוֹרָה בִּבְרָכָה, כְּהִלְכָתָהּ. וּמַפְטִירִין בַּנָּבִיא וְעַיֵּן בְּסָמוּךְ רֵישׁ סי' קמ"ג.
2 A place that has a minyan [a quorum of 10], but there is no one that knows how to read from the Torah according to its laws precisely and with the [correct] cantillation; nevertheless, they should read from the Torah with the blessings as per its laws. (And they conclude [i.e. read the Haftarah] from the Prophets. And see further in the beginning of Siman 144)